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Finding the Third Proportional to 267,682 and 391,465.50

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Solution

The third proportional to 267,682 and 391,465.50 is: 572,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682 : 391,465.50 = 391,465.50 : x
  2. Step 2: Convert to fraction form
    267,682/391,465.50 = 391,465.50/x
  3. Step 3: Cross multiply
    267,682x = 391,465.50 × 391,465.50
  4. Step 4: Simplify right side
    267,682x = 153,245,237,690.25
  5. Step 5: Solve for x
    x = 153,245,237,690.25/267,682
  6. Step 6: Final answer
    x = 572,489.89

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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.