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Finding the Third Proportional to 17,579 and 31,261

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Solution

The third proportional to 17,579 and 31,261 is: 55,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,579 : 31,261 = 31,261 : x
  2. Step 2: Convert to fraction form
    17,579/31,261 = 31,261/x
  3. Step 3: Cross multiply
    17,579x = 31,261 × 31,261
  4. Step 4: Simplify right side
    17,579x = 977,250,121
  5. Step 5: Solve for x
    x = 977,250,121/17,579
  6. Step 6: Final answer
    x = 55,591.91

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.