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Finding the Third Proportional to 71,236 and 112,800

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Solution

The third proportional to 71,236 and 112,800 is: 178,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,236 : 112,800 = 112,800 : x
  2. Step 2: Convert to fraction form
    71,236/112,800 = 112,800/x
  3. Step 3: Cross multiply
    71,236x = 112,800 × 112,800
  4. Step 4: Simplify right side
    71,236x = 12,723,840,000
  5. Step 5: Solve for x
    x = 12,723,840,000/71,236
  6. Step 6: Final answer
    x = 178,615.31

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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.