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Finding the Third Proportional to 81,579 and 115,482

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Solution

The third proportional to 81,579 and 115,482 is: 163,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,579 : 115,482 = 115,482 : x
  2. Step 2: Convert to fraction form
    81,579/115,482 = 115,482/x
  3. Step 3: Cross multiply
    81,579x = 115,482 × 115,482
  4. Step 4: Simplify right side
    81,579x = 13,336,092,324
  5. Step 5: Solve for x
    x = 13,336,092,324/81,579
  6. Step 6: Final answer
    x = 163,474.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.