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Finding the Third Proportional to 45,042 and 67,179

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Solution

The third proportional to 45,042 and 67,179 is: 100,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 67,179 = 67,179 : x
  2. Step 2: Convert to fraction form
    45,042/67,179 = 67,179/x
  3. Step 3: Cross multiply
    45,042x = 67,179 × 67,179
  4. Step 4: Simplify right side
    45,042x = 4,513,018,041
  5. Step 5: Solve for x
    x = 4,513,018,041/45,042
  6. Step 6: Final answer
    x = 100,195.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.