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Finding the Third Proportional to 185,272 and 399,122

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Solution

The third proportional to 185,272 and 399,122 is: 859,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,272 : 399,122 = 399,122 : x
  2. Step 2: Convert to fraction form
    185,272/399,122 = 399,122/x
  3. Step 3: Cross multiply
    185,272x = 399,122 × 399,122
  4. Step 4: Simplify right side
    185,272x = 159,298,370,884
  5. Step 5: Solve for x
    x = 159,298,370,884/185,272
  6. Step 6: Final answer
    x = 859,808.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.