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Finding the Third Proportional to 30,979 and 66,883

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Solution

The third proportional to 30,979 and 66,883 is: 144,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,979 : 66,883 = 66,883 : x
  2. Step 2: Convert to fraction form
    30,979/66,883 = 66,883/x
  3. Step 3: Cross multiply
    30,979x = 66,883 × 66,883
  4. Step 4: Simplify right side
    30,979x = 4,473,335,689
  5. Step 5: Solve for x
    x = 4,473,335,689/30,979
  6. Step 6: Final answer
    x = 144,398.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.