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Finding the Third Proportional to 31,510,782 and 68,399,397

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Solution

The third proportional to 31,510,782 and 68,399,397 is: 148,472,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510,782 : 68,399,397 = 68,399,397 : x
  2. Step 2: Convert to fraction form
    31,510,782/68,399,397 = 68,399,397/x
  3. Step 3: Cross multiply
    31,510,782x = 68,399,397 × 68,399,397
  4. Step 4: Simplify right side
    31,510,782x = 4,678,477,509,963,609
  5. Step 5: Solve for x
    x = 4,678,477,509,963,609/31,510,782
  6. Step 6: Final answer
    x = 148,472,275.62

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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.