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Finding the Third Proportional to 61,486.50 and 90,042

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Solution

The third proportional to 61,486.50 and 90,042 is: 131,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,486.50 : 90,042 = 90,042 : x
  2. Step 2: Convert to fraction form
    61,486.50/90,042 = 90,042/x
  3. Step 3: Cross multiply
    61,486.50x = 90,042 × 90,042
  4. Step 4: Simplify right side
    61,486.50x = 8,107,561,764
  5. Step 5: Solve for x
    x = 8,107,561,764/61,486.50
  6. Step 6: Final answer
    x = 131,859.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.