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Finding the Third Proportional to 40,272 and 66,558

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Solution

The third proportional to 40,272 and 66,558 is: 110,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,272 : 66,558 = 66,558 : x
  2. Step 2: Convert to fraction form
    40,272/66,558 = 66,558/x
  3. Step 3: Cross multiply
    40,272x = 66,558 × 66,558
  4. Step 4: Simplify right side
    40,272x = 4,429,967,364
  5. Step 5: Solve for x
    x = 4,429,967,364/40,272
  6. Step 6: Final answer
    x = 110,001.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.