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Finding the Third Proportional to 100,812,911.13 and 155,696,480.38

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Solution

The third proportional to 100,812,911.13 and 155,696,480.38 is: 240,459,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,911.13 : 155,696,480.38 = 155,696,480.38 : x
  2. Step 2: Convert to fraction form
    100,812,911.13/155,696,480.38 = 155,696,480.38/x
  3. Step 3: Cross multiply
    100,812,911.13x = 155,696,480.38 × 155,696,480.38
  4. Step 4: Simplify right side
    100,812,911.13x = 24,241,394,001,162,760
  5. Step 5: Solve for x
    x = 24,241,394,001,162,760/100,812,911.13
  6. Step 6: Final answer
    x = 240,459,220.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.