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Finding the Third Proportional to 132,170,590 and 286,307,772.50

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Solution

The third proportional to 132,170,590 and 286,307,772.50 is: 620,199,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170,590 : 286,307,772.50 = 286,307,772.50 : x
  2. Step 2: Convert to fraction form
    132,170,590/286,307,772.50 = 286,307,772.50/x
  3. Step 3: Cross multiply
    132,170,590x = 286,307,772.50 × 286,307,772.50
  4. Step 4: Simplify right side
    132,170,590x = 81,972,140,593,911,760
  5. Step 5: Solve for x
    x = 81,972,140,593,911,760/132,170,590
  6. Step 6: Final answer
    x = 620,199,551.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.