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Finding the Third Proportional to 45,042 and 71,685

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Solution

The third proportional to 45,042 and 71,685 is: 114,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 71,685 = 71,685 : x
  2. Step 2: Convert to fraction form
    45,042/71,685 = 71,685/x
  3. Step 3: Cross multiply
    45,042x = 71,685 × 71,685
  4. Step 4: Simplify right side
    45,042x = 5,138,739,225
  5. Step 5: Solve for x
    x = 5,138,739,225/45,042
  6. Step 6: Final answer
    x = 114,087.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.