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Finding the Third Proportional to 71,910 and 112,559

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Solution

The third proportional to 71,910 and 112,559 is: 176,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,910 : 112,559 = 112,559 : x
  2. Step 2: Convert to fraction form
    71,910/112,559 = 112,559/x
  3. Step 3: Cross multiply
    71,910x = 112,559 × 112,559
  4. Step 4: Simplify right side
    71,910x = 12,669,528,481
  5. Step 5: Solve for x
    x = 12,669,528,481/71,910
  6. Step 6: Final answer
    x = 176,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.