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Finding the Third Proportional to 417.66 and 656.93

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Solution

The third proportional to 417.66 and 656.93 is: 1,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 656.93 = 656.93 : x
  2. Step 2: Convert to fraction form
    417.66/656.93 = 656.93/x
  3. Step 3: Cross multiply
    417.66x = 656.93 × 656.93
  4. Step 4: Simplify right side
    417.66x = 431,556.61
  5. Step 5: Solve for x
    x = 431,556.61/417.66
  6. Step 6: Final answer
    x = 1,033.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.