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Finding the Third Proportional to 78,316,732 and 165,969,452

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Solution

The third proportional to 78,316,732 and 165,969,452 is: 351,723,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316,732 : 165,969,452 = 165,969,452 : x
  2. Step 2: Convert to fraction form
    78,316,732/165,969,452 = 165,969,452/x
  3. Step 3: Cross multiply
    78,316,732x = 165,969,452 × 165,969,452
  4. Step 4: Simplify right side
    78,316,732x = 27,545,858,997,180,304
  5. Step 5: Solve for x
    x = 27,545,858,997,180,304/78,316,732
  6. Step 6: Final answer
    x = 351,723,805.29

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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.