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Finding the Third Proportional to 688.13 and 1,500.28

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Solution

The third proportional to 688.13 and 1,500.28 is: 3,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 1,500.28 = 1,500.28 : x
  2. Step 2: Convert to fraction form
    688.13/1,500.28 = 1,500.28/x
  3. Step 3: Cross multiply
    688.13x = 1,500.28 × 1,500.28
  4. Step 4: Simplify right side
    688.13x = 2,250,843.83
  5. Step 5: Solve for x
    x = 2,250,843.83/688.13
  6. Step 6: Final answer
    x = 3,270.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.