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Finding the Third Proportional to 66,074 and 140,686

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Solution

The third proportional to 66,074 and 140,686 is: 299,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,074 : 140,686 = 140,686 : x
  2. Step 2: Convert to fraction form
    66,074/140,686 = 140,686/x
  3. Step 3: Cross multiply
    66,074x = 140,686 × 140,686
  4. Step 4: Simplify right side
    66,074x = 19,792,550,596
  5. Step 5: Solve for x
    x = 19,792,550,596/66,074
  6. Step 6: Final answer
    x = 299,551.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.