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Finding the Third Proportional to 112,747 and 178,397

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Solution

The third proportional to 112,747 and 178,397 is: 282,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,747 : 178,397 = 178,397 : x
  2. Step 2: Convert to fraction form
    112,747/178,397 = 178,397/x
  3. Step 3: Cross multiply
    112,747x = 178,397 × 178,397
  4. Step 4: Simplify right side
    112,747x = 31,825,489,609
  5. Step 5: Solve for x
    x = 31,825,489,609/112,747
  6. Step 6: Final answer
    x = 282,273.49

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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.