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Finding the Third Proportional to 267,864 and 391,740

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Solution

The third proportional to 267,864 and 391,740 is: 572,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,864 : 391,740 = 391,740 : x
  2. Step 2: Convert to fraction form
    267,864/391,740 = 391,740/x
  3. Step 3: Cross multiply
    267,864x = 391,740 × 391,740
  4. Step 4: Simplify right side
    267,864x = 153,460,227,600
  5. Step 5: Solve for x
    x = 153,460,227,600/267,864
  6. Step 6: Final answer
    x = 572,903.52

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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.