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Finding the Third Proportional to 99,872 and 214,432

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Solution

The third proportional to 99,872 and 214,432 is: 460,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872 : 214,432 = 214,432 : x
  2. Step 2: Convert to fraction form
    99,872/214,432 = 214,432/x
  3. Step 3: Cross multiply
    99,872x = 214,432 × 214,432
  4. Step 4: Simplify right side
    99,872x = 45,981,082,624
  5. Step 5: Solve for x
    x = 45,981,082,624/99,872
  6. Step 6: Final answer
    x = 460,400.14

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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.