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Finding the Third Proportional to 71,902.13 and 112,546.13

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Solution

The third proportional to 71,902.13 and 112,546.13 is: 176,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.13 : 112,546.13 = 112,546.13 : x
  2. Step 2: Convert to fraction form
    71,902.13/112,546.13 = 112,546.13/x
  3. Step 3: Cross multiply
    71,902.13x = 112,546.13 × 112,546.13
  4. Step 4: Simplify right side
    71,902.13x = 12,666,630,252.52
  5. Step 5: Solve for x
    x = 12,666,630,252.52/71,902.13
  6. Step 6: Final answer
    x = 176,164.89

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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.