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Finding the Third Proportional to 587.06 and 686.06

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Solution

The third proportional to 587.06 and 686.06 is: 801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 686.06 = 686.06 : x
  2. Step 2: Convert to fraction form
    587.06/686.06 = 686.06/x
  3. Step 3: Cross multiply
    587.06x = 686.06 × 686.06
  4. Step 4: Simplify right side
    587.06x = 470,681.75
  5. Step 5: Solve for x
    x = 470,681.75/587.06
  6. Step 6: Final answer
    x = 801.76

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.