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Finding the Third Proportional to 83,156 and 128,015

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Solution

The third proportional to 83,156 and 128,015 is: 197,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156 : 128,015 = 128,015 : x
  2. Step 2: Convert to fraction form
    83,156/128,015 = 128,015/x
  3. Step 3: Cross multiply
    83,156x = 128,015 × 128,015
  4. Step 4: Simplify right side
    83,156x = 16,387,840,225
  5. Step 5: Solve for x
    x = 16,387,840,225/83,156
  6. Step 6: Final answer
    x = 197,073.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.