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Finding the Third Proportional to 111,770 and 239,536

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Solution

The third proportional to 111,770 and 239,536 is: 513,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,770 : 239,536 = 239,536 : x
  2. Step 2: Convert to fraction form
    111,770/239,536 = 239,536/x
  3. Step 3: Cross multiply
    111,770x = 239,536 × 239,536
  4. Step 4: Simplify right side
    111,770x = 57,377,495,296
  5. Step 5: Solve for x
    x = 57,377,495,296/111,770
  6. Step 6: Final answer
    x = 513,353.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.