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Finding the Third Proportional to 66,979 and 145,610

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Solution

The third proportional to 66,979 and 145,610 is: 316,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,979 : 145,610 = 145,610 : x
  2. Step 2: Convert to fraction form
    66,979/145,610 = 145,610/x
  3. Step 3: Cross multiply
    66,979x = 145,610 × 145,610
  4. Step 4: Simplify right side
    66,979x = 21,202,272,100
  5. Step 5: Solve for x
    x = 21,202,272,100/66,979
  6. Step 6: Final answer
    x = 316,551.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.