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Finding the Third Proportional to 488.81 and 686.39

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Solution

The third proportional to 488.81 and 686.39 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.81 : 686.39 = 686.39 : x
  2. Step 2: Convert to fraction form
    488.81/686.39 = 686.39/x
  3. Step 3: Cross multiply
    488.81x = 686.39 × 686.39
  4. Step 4: Simplify right side
    488.81x = 471,132.09
  5. Step 5: Solve for x
    x = 471,132.09/488.81
  6. Step 6: Final answer
    x = 963.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.