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Finding the Third Proportional to 111,264 and 239,376

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Solution

The third proportional to 111,264 and 239,376 is: 514,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264 : 239,376 = 239,376 : x
  2. Step 2: Convert to fraction form
    111,264/239,376 = 239,376/x
  3. Step 3: Cross multiply
    111,264x = 239,376 × 239,376
  4. Step 4: Simplify right side
    111,264x = 57,300,869,376
  5. Step 5: Solve for x
    x = 57,300,869,376/111,264
  6. Step 6: Final answer
    x = 514,999.19

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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.