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Finding the Third Proportional to 100,812,909.76 and 155,696,478.43

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Solution

The third proportional to 100,812,909.76 and 155,696,478.43 is: 240,459,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,909.76 : 155,696,478.43 = 155,696,478.43 : x
  2. Step 2: Convert to fraction form
    100,812,909.76/155,696,478.43 = 155,696,478.43/x
  3. Step 3: Cross multiply
    100,812,909.76x = 155,696,478.43 × 155,696,478.43
  4. Step 4: Simplify right side
    100,812,909.76x = 24,241,393,396,624,472
  5. Step 5: Solve for x
    x = 24,241,393,396,624,472/100,812,909.76
  6. Step 6: Final answer
    x = 240,459,217.51

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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.