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Finding the Third Proportional to 112,540 and 178,206

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Solution

The third proportional to 112,540 and 178,206 is: 282,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,540 : 178,206 = 178,206 : x
  2. Step 2: Convert to fraction form
    112,540/178,206 = 178,206/x
  3. Step 3: Cross multiply
    112,540x = 178,206 × 178,206
  4. Step 4: Simplify right side
    112,540x = 31,757,378,436
  5. Step 5: Solve for x
    x = 31,757,378,436/112,540
  6. Step 6: Final answer
    x = 282,187.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.