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Finding the Third Proportional to 408,640 and 634,344

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Solution

The third proportional to 408,640 and 634,344 is: 984,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,640 : 634,344 = 634,344 : x
  2. Step 2: Convert to fraction form
    408,640/634,344 = 634,344/x
  3. Step 3: Cross multiply
    408,640x = 634,344 × 634,344
  4. Step 4: Simplify right side
    408,640x = 402,392,310,336
  5. Step 5: Solve for x
    x = 402,392,310,336/408,640
  6. Step 6: Final answer
    x = 984,711.02

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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.