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Finding the Third Proportional to 87,218 and 134,229

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Solution

The third proportional to 87,218 and 134,229 is: 206,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218 : 134,229 = 134,229 : x
  2. Step 2: Convert to fraction form
    87,218/134,229 = 134,229/x
  3. Step 3: Cross multiply
    87,218x = 134,229 × 134,229
  4. Step 4: Simplify right side
    87,218x = 18,017,424,441
  5. Step 5: Solve for x
    x = 18,017,424,441/87,218
  6. Step 6: Final answer
    x = 206,579.20

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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.