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Finding the Third Proportional to 71,758 and 110,665

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Solution

The third proportional to 71,758 and 110,665 is: 170,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758 : 110,665 = 110,665 : x
  2. Step 2: Convert to fraction form
    71,758/110,665 = 110,665/x
  3. Step 3: Cross multiply
    71,758x = 110,665 × 110,665
  4. Step 4: Simplify right side
    71,758x = 12,246,742,225
  5. Step 5: Solve for x
    x = 12,246,742,225/71,758
  6. Step 6: Final answer
    x = 170,667.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.