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Finding the Third Proportional to 128,418 and 191,267

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Solution

The third proportional to 128,418 and 191,267 is: 284,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,418 : 191,267 = 191,267 : x
  2. Step 2: Convert to fraction form
    128,418/191,267 = 191,267/x
  3. Step 3: Cross multiply
    128,418x = 191,267 × 191,267
  4. Step 4: Simplify right side
    128,418x = 36,583,065,289
  5. Step 5: Solve for x
    x = 36,583,065,289/128,418
  6. Step 6: Final answer
    x = 284,874.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.