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Finding the Third Proportional to 425.33 and 932.83

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Solution

The third proportional to 425.33 and 932.83 is: 2,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.33 : 932.83 = 932.83 : x
  2. Step 2: Convert to fraction form
    425.33/932.83 = 932.83/x
  3. Step 3: Cross multiply
    425.33x = 932.83 × 932.83
  4. Step 4: Simplify right side
    425.33x = 870,166.42
  5. Step 5: Solve for x
    x = 870,166.42/425.33
  6. Step 6: Final answer
    x = 2,045.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.