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Finding the Third Proportional to 239,831,634,223.50 and 533,286,198,873

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Solution

The third proportional to 239,831,634,223.50 and 533,286,198,873 is: 1,185,807,580,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,831,634,223.50 : 533,286,198,873 = 533,286,198,873 : x
  2. Step 2: Convert to fraction form
    239,831,634,223.50/533,286,198,873 = 533,286,198,873/x
  3. Step 3: Cross multiply
    239,831,634,223.50x = 533,286,198,873 × 533,286,198,873
  4. Step 4: Simplify right side
    239,831,634,223.50x = 284,394,169,908,412,922,462,208
  5. Step 5: Solve for x
    x = 284,394,169,908,412,922,462,208/239,831,634,223.50
  6. Step 6: Final answer
    x = 1,185,807,580,510.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.