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Finding the Third Proportional to 100,812,910.69 and 155,696,479.78

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Solution

The third proportional to 100,812,910.69 and 155,696,479.78 is: 240,459,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,910.69 : 155,696,479.78 = 155,696,479.78 : x
  2. Step 2: Convert to fraction form
    100,812,910.69/155,696,479.78 = 155,696,479.78/x
  3. Step 3: Cross multiply
    100,812,910.69x = 155,696,479.78 × 155,696,479.78
  4. Step 4: Simplify right side
    100,812,910.69x = 24,241,393,816,273,192
  5. Step 5: Solve for x
    x = 24,241,393,816,273,192/100,812,910.69
  6. Step 6: Final answer
    x = 240,459,219.47

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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.