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Finding the Third Proportional to 408,624 and 634,320

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Solution

The third proportional to 408,624 and 634,320 is: 984,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,624 : 634,320 = 634,320 : x
  2. Step 2: Convert to fraction form
    408,624/634,320 = 634,320/x
  3. Step 3: Cross multiply
    408,624x = 634,320 × 634,320
  4. Step 4: Simplify right side
    408,624x = 402,361,862,400
  5. Step 5: Solve for x
    x = 402,361,862,400/408,624
  6. Step 6: Final answer
    x = 984,675.06

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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.