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Finding the Third Proportional to 657.49 and 837.21

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Solution

The third proportional to 657.49 and 837.21 is: 1,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.49 : 837.21 = 837.21 : x
  2. Step 2: Convert to fraction form
    657.49/837.21 = 837.21/x
  3. Step 3: Cross multiply
    657.49x = 837.21 × 837.21
  4. Step 4: Simplify right side
    657.49x = 700,922.15
  5. Step 5: Solve for x
    x = 700,922.15/657.49
  6. Step 6: Final answer
    x = 1,066.05

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.