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Finding the Third Proportional to 66,479 and 145,874

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Solution

The third proportional to 66,479 and 145,874 is: 320,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,479 : 145,874 = 145,874 : x
  2. Step 2: Convert to fraction form
    66,479/145,874 = 145,874/x
  3. Step 3: Cross multiply
    66,479x = 145,874 × 145,874
  4. Step 4: Simplify right side
    66,479x = 21,279,223,876
  5. Step 5: Solve for x
    x = 21,279,223,876/66,479
  6. Step 6: Final answer
    x = 320,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.