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Finding the Third Proportional to 431.94 and 932.13

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Solution

The third proportional to 431.94 and 932.13 is: 2,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 932.13 = 932.13 : x
  2. Step 2: Convert to fraction form
    431.94/932.13 = 932.13/x
  3. Step 3: Cross multiply
    431.94x = 932.13 × 932.13
  4. Step 4: Simplify right side
    431.94x = 868,857.02
  5. Step 5: Solve for x
    x = 868,857.02/431.94
  6. Step 6: Final answer
    x = 2,011.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.