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Finding the Third Proportional to 267,636.75 and 391,403.25

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Solution

The third proportional to 267,636.75 and 391,403.25 is: 572,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,636.75 : 391,403.25 = 391,403.25 : x
  2. Step 2: Convert to fraction form
    267,636.75/391,403.25 = 391,403.25/x
  3. Step 3: Cross multiply
    267,636.75x = 391,403.25 × 391,403.25
  4. Step 4: Simplify right side
    267,636.75x = 153,196,504,110.56
  5. Step 5: Solve for x
    x = 153,196,504,110.56/267,636.75
  6. Step 6: Final answer
    x = 572,404.59

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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.