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Finding the Third Proportional to 657.44 and 1,011.88

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Solution

The third proportional to 657.44 and 1,011.88 is: 1,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 1,011.88 = 1,011.88 : x
  2. Step 2: Convert to fraction form
    657.44/1,011.88 = 1,011.88/x
  3. Step 3: Cross multiply
    657.44x = 1,011.88 × 1,011.88
  4. Step 4: Simplify right side
    657.44x = 1,023,891.02
  5. Step 5: Solve for x
    x = 1,023,891.02/657.44
  6. Step 6: Final answer
    x = 1,557.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.