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Finding the Third Proportional to 203,151,916.50 and 309,480,955.50

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Solution

The third proportional to 203,151,916.50 and 309,480,955.50 is: 471,462,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151,916.50 : 309,480,955.50 = 309,480,955.50 : x
  2. Step 2: Convert to fraction form
    203,151,916.50/309,480,955.50 = 309,480,955.50/x
  3. Step 3: Cross multiply
    203,151,916.50x = 309,480,955.50 × 309,480,955.50
  4. Step 4: Simplify right side
    203,151,916.50x = 95,778,461,817,192,976
  5. Step 5: Solve for x
    x = 95,778,461,817,192,976/203,151,916.50
  6. Step 6: Final answer
    x = 471,462,260.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.