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Finding the Third Proportional to 686.53 and 1,526.91

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Solution

The third proportional to 686.53 and 1,526.91 is: 3,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 1,526.91 = 1,526.91 : x
  2. Step 2: Convert to fraction form
    686.53/1,526.91 = 1,526.91/x
  3. Step 3: Cross multiply
    686.53x = 1,526.91 × 1,526.91
  4. Step 4: Simplify right side
    686.53x = 2,331,442.70
  5. Step 5: Solve for x
    x = 2,331,442.70/686.53
  6. Step 6: Final answer
    x = 3,395.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.