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Finding the Third Proportional to 688.13 and 1,760.81

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Solution

The third proportional to 688.13 and 1,760.81 is: 4,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 1,760.81 = 1,760.81 : x
  2. Step 2: Convert to fraction form
    688.13/1,760.81 = 1,760.81/x
  3. Step 3: Cross multiply
    688.13x = 1,760.81 × 1,760.81
  4. Step 4: Simplify right side
    688.13x = 3,100,460.66
  5. Step 5: Solve for x
    x = 3,100,460.66/688.13
  6. Step 6: Final answer
    x = 4,505.66

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.