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Finding the Third Proportional to 71,276 and 112,853

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Solution

The third proportional to 71,276 and 112,853 is: 178,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276 : 112,853 = 112,853 : x
  2. Step 2: Convert to fraction form
    71,276/112,853 = 112,853/x
  3. Step 3: Cross multiply
    71,276x = 112,853 × 112,853
  4. Step 4: Simplify right side
    71,276x = 12,735,799,609
  5. Step 5: Solve for x
    x = 12,735,799,609/71,276
  6. Step 6: Final answer
    x = 178,682.86

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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.