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Finding the Third Proportional to 267,458 and 391,585.75

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Solution

The third proportional to 267,458 and 391,585.75 is: 573,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,458 : 391,585.75 = 391,585.75 : x
  2. Step 2: Convert to fraction form
    267,458/391,585.75 = 391,585.75/x
  3. Step 3: Cross multiply
    267,458x = 391,585.75 × 391,585.75
  4. Step 4: Simplify right side
    267,458x = 153,339,399,603.06
  5. Step 5: Solve for x
    x = 153,339,399,603.06/267,458
  6. Step 6: Final answer
    x = 573,321.42

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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.