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Finding the Third Proportional to 439.75 and 686.13

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Solution

The third proportional to 439.75 and 686.13 is: 1,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 686.13 = 686.13 : x
  2. Step 2: Convert to fraction form
    439.75/686.13 = 686.13/x
  3. Step 3: Cross multiply
    439.75x = 686.13 × 686.13
  4. Step 4: Simplify right side
    439.75x = 470,767.52
  5. Step 5: Solve for x
    x = 470,767.52/439.75
  6. Step 6: Final answer
    x = 1,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.