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Finding the Third Proportional to 60,172.50 and 90,042

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Solution

The third proportional to 60,172.50 and 90,042 is: 134,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,172.50 : 90,042 = 90,042 : x
  2. Step 2: Convert to fraction form
    60,172.50/90,042 = 90,042/x
  3. Step 3: Cross multiply
    60,172.50x = 90,042 × 90,042
  4. Step 4: Simplify right side
    60,172.50x = 8,107,561,764
  5. Step 5: Solve for x
    x = 8,107,561,764/60,172.50
  6. Step 6: Final answer
    x = 134,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.