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Finding the Third Proportional to 686.38 and 1,026.19

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Solution

The third proportional to 686.38 and 1,026.19 is: 1,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.38 : 1,026.19 = 1,026.19 : x
  2. Step 2: Convert to fraction form
    686.38/1,026.19 = 1,026.19/x
  3. Step 3: Cross multiply
    686.38x = 1,026.19 × 1,026.19
  4. Step 4: Simplify right side
    686.38x = 1,053,060.79
  5. Step 5: Solve for x
    x = 1,053,060.79/686.38
  6. Step 6: Final answer
    x = 1,534.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.