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Finding the Third Proportional to 657.88 and 1,432.75

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Solution

The third proportional to 657.88 and 1,432.75 is: 3,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.88 : 1,432.75 = 1,432.75 : x
  2. Step 2: Convert to fraction form
    657.88/1,432.75 = 1,432.75/x
  3. Step 3: Cross multiply
    657.88x = 1,432.75 × 1,432.75
  4. Step 4: Simplify right side
    657.88x = 2,052,772.56
  5. Step 5: Solve for x
    x = 2,052,772.56/657.88
  6. Step 6: Final answer
    x = 3,120.31

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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.