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Finding the Third Proportional to 670.78 and 932.13

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Solution

The third proportional to 670.78 and 932.13 is: 1,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.78 : 932.13 = 932.13 : x
  2. Step 2: Convert to fraction form
    670.78/932.13 = 932.13/x
  3. Step 3: Cross multiply
    670.78x = 932.13 × 932.13
  4. Step 4: Simplify right side
    670.78x = 868,871.58
  5. Step 5: Solve for x
    x = 868,871.58/670.78
  6. Step 6: Final answer
    x = 1,295.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.