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Finding the Third Proportional to 657.25 and 969.88

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Solution

The third proportional to 657.25 and 969.88 is: 1,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.25 : 969.88 = 969.88 : x
  2. Step 2: Convert to fraction form
    657.25/969.88 = 969.88/x
  3. Step 3: Cross multiply
    657.25x = 969.88 × 969.88
  4. Step 4: Simplify right side
    657.25x = 940,657.52
  5. Step 5: Solve for x
    x = 940,657.52/657.25
  6. Step 6: Final answer
    x = 1,431.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.