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Finding the Third Proportional to 158,568 and 217,442

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Solution

The third proportional to 158,568 and 217,442 is: 298,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,568 : 217,442 = 217,442 : x
  2. Step 2: Convert to fraction form
    158,568/217,442 = 217,442/x
  3. Step 3: Cross multiply
    158,568x = 217,442 × 217,442
  4. Step 4: Simplify right side
    158,568x = 47,281,023,364
  5. Step 5: Solve for x
    x = 47,281,023,364/158,568
  6. Step 6: Final answer
    x = 298,175.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.