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Finding the Third Proportional to 112,385 and 239,074

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Solution

The third proportional to 112,385 and 239,074 is: 508,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,385 : 239,074 = 239,074 : x
  2. Step 2: Convert to fraction form
    112,385/239,074 = 239,074/x
  3. Step 3: Cross multiply
    112,385x = 239,074 × 239,074
  4. Step 4: Simplify right side
    112,385x = 57,156,377,476
  5. Step 5: Solve for x
    x = 57,156,377,476/112,385
  6. Step 6: Final answer
    x = 508,576.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.