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Finding the Third Proportional to 391,285 and 621,947

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Solution

The third proportional to 391,285 and 621,947 is: 988,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,285 : 621,947 = 621,947 : x
  2. Step 2: Convert to fraction form
    391,285/621,947 = 621,947/x
  3. Step 3: Cross multiply
    391,285x = 621,947 × 621,947
  4. Step 4: Simplify right side
    391,285x = 386,818,070,809
  5. Step 5: Solve for x
    x = 386,818,070,809/391,285
  6. Step 6: Final answer
    x = 988,583.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.