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Finding the Third Proportional to 408,632 and 634,332

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Solution

The third proportional to 408,632 and 634,332 is: 984,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,632 : 634,332 = 634,332 : x
  2. Step 2: Convert to fraction form
    408,632/634,332 = 634,332/x
  3. Step 3: Cross multiply
    408,632x = 634,332 × 634,332
  4. Step 4: Simplify right side
    408,632x = 402,377,086,224
  5. Step 5: Solve for x
    x = 402,377,086,224/408,632
  6. Step 6: Final answer
    x = 984,693.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.