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Finding the Third Proportional to 281,940 and 415,122

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Solution

The third proportional to 281,940 and 415,122 is: 611,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,940 : 415,122 = 415,122 : x
  2. Step 2: Convert to fraction form
    281,940/415,122 = 415,122/x
  3. Step 3: Cross multiply
    281,940x = 415,122 × 415,122
  4. Step 4: Simplify right side
    281,940x = 172,326,274,884
  5. Step 5: Solve for x
    x = 172,326,274,884/281,940
  6. Step 6: Final answer
    x = 611,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.