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Finding the Third Proportional to 112,518 and 239,373

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Solution

The third proportional to 112,518 and 239,373 is: 509,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,518 : 239,373 = 239,373 : x
  2. Step 2: Convert to fraction form
    112,518/239,373 = 239,373/x
  3. Step 3: Cross multiply
    112,518x = 239,373 × 239,373
  4. Step 4: Simplify right side
    112,518x = 57,299,433,129
  5. Step 5: Solve for x
    x = 57,299,433,129/112,518
  6. Step 6: Final answer
    x = 509,246.81

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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.