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Finding the Third Proportional to 417,727 and 913,699

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Solution

The third proportional to 417,727 and 913,699 is: 1,998,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,727 : 913,699 = 913,699 : x
  2. Step 2: Convert to fraction form
    417,727/913,699 = 913,699/x
  3. Step 3: Cross multiply
    417,727x = 913,699 × 913,699
  4. Step 4: Simplify right side
    417,727x = 834,845,862,601
  5. Step 5: Solve for x
    x = 834,845,862,601/417,727
  6. Step 6: Final answer
    x = 1,998,544.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.