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Finding the Third Proportional to 687,866 and 1,062,471

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Solution

The third proportional to 687,866 and 1,062,471 is: 1,641,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,866 : 1,062,471 = 1,062,471 : x
  2. Step 2: Convert to fraction form
    687,866/1,062,471 = 1,062,471/x
  3. Step 3: Cross multiply
    687,866x = 1,062,471 × 1,062,471
  4. Step 4: Simplify right side
    687,866x = 1,128,844,625,841
  5. Step 5: Solve for x
    x = 1,128,844,625,841/687,866
  6. Step 6: Final answer
    x = 1,641,082.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.