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Finding the Third Proportional to 406,982 and 622,617

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Solution

The third proportional to 406,982 and 622,617 is: 952,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,982 : 622,617 = 622,617 : x
  2. Step 2: Convert to fraction form
    406,982/622,617 = 622,617/x
  3. Step 3: Cross multiply
    406,982x = 622,617 × 622,617
  4. Step 4: Simplify right side
    406,982x = 387,651,928,689
  5. Step 5: Solve for x
    x = 387,651,928,689/406,982
  6. Step 6: Final answer
    x = 952,503.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.