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Finding the Third Proportional to 78,554,949,919 and 172,318,542,781

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Solution

The third proportional to 78,554,949,919 and 172,318,542,781 is: 377,998,843,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,949,919 : 172,318,542,781 = 172,318,542,781 : x
  2. Step 2: Convert to fraction form
    78,554,949,919/172,318,542,781 = 172,318,542,781/x
  3. Step 3: Cross multiply
    78,554,949,919x = 172,318,542,781 × 172,318,542,781
  4. Step 4: Simplify right side
    78,554,949,919x = 29,693,680,186,167,327,195,136
  5. Step 5: Solve for x
    x = 29,693,680,186,167,327,195,136/78,554,949,919
  6. Step 6: Final answer
    x = 377,998,843,061.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.