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Finding the Third Proportional to 78,316,730 and 165,969,448

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Solution

The third proportional to 78,316,730 and 165,969,448 is: 351,723,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,730 : 165,969,448 = 165,969,448 : x
  2. Step 2: Convert to fraction form
    78,316,730/165,969,448 = 165,969,448/x
  3. Step 3: Cross multiply
    78,316,730x = 165,969,448 × 165,969,448
  4. Step 4: Simplify right side
    78,316,730x = 27,545,857,669,424,704
  5. Step 5: Solve for x
    x = 27,545,857,669,424,704/78,316,730
  6. Step 6: Final answer
    x = 351,723,797.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.