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Finding the Third Proportional to 66,071 and 140,680

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Solution

The third proportional to 66,071 and 140,680 is: 299,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,071 : 140,680 = 140,680 : x
  2. Step 2: Convert to fraction form
    66,071/140,680 = 140,680/x
  3. Step 3: Cross multiply
    66,071x = 140,680 × 140,680
  4. Step 4: Simplify right side
    66,071x = 19,790,862,400
  5. Step 5: Solve for x
    x = 19,790,862,400/66,071
  6. Step 6: Final answer
    x = 299,539.32

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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.