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Finding the Third Proportional to 158,310 and 231,921

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Solution

The third proportional to 158,310 and 231,921 is: 339,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,310 : 231,921 = 231,921 : x
  2. Step 2: Convert to fraction form
    158,310/231,921 = 231,921/x
  3. Step 3: Cross multiply
    158,310x = 231,921 × 231,921
  4. Step 4: Simplify right side
    158,310x = 53,787,350,241
  5. Step 5: Solve for x
    x = 53,787,350,241/158,310
  6. Step 6: Final answer
    x = 339,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.