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Finding the Third Proportional to 83,124 and 128,970

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Solution

The third proportional to 83,124 and 128,970 is: 200,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,124 : 128,970 = 128,970 : x
  2. Step 2: Convert to fraction form
    83,124/128,970 = 128,970/x
  3. Step 3: Cross multiply
    83,124x = 128,970 × 128,970
  4. Step 4: Simplify right side
    83,124x = 16,633,260,900
  5. Step 5: Solve for x
    x = 16,633,260,900/83,124
  6. Step 6: Final answer
    x = 200,101.79

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Why These Related Problems?

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