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Finding the Third Proportional to 83,979 and 130,025

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Solution

The third proportional to 83,979 and 130,025 is: 201,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,979 : 130,025 = 130,025 : x
  2. Step 2: Convert to fraction form
    83,979/130,025 = 130,025/x
  3. Step 3: Cross multiply
    83,979x = 130,025 × 130,025
  4. Step 4: Simplify right side
    83,979x = 16,906,500,625
  5. Step 5: Solve for x
    x = 16,906,500,625/83,979
  6. Step 6: Final answer
    x = 201,318.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.