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Finding the Third Proportional to 212,624 and 329,016

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Solution

The third proportional to 212,624 and 329,016 is: 509,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,624 : 329,016 = 329,016 : x
  2. Step 2: Convert to fraction form
    212,624/329,016 = 329,016/x
  3. Step 3: Cross multiply
    212,624x = 329,016 × 329,016
  4. Step 4: Simplify right side
    212,624x = 108,251,528,256
  5. Step 5: Solve for x
    x = 108,251,528,256/212,624
  6. Step 6: Final answer
    x = 509,121.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.