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Finding the Third Proportional to 267,648 and 391,421

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Solution

The third proportional to 267,648 and 391,421 is: 572,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,648 : 391,421 = 391,421 : x
  2. Step 2: Convert to fraction form
    267,648/391,421 = 391,421/x
  3. Step 3: Cross multiply
    267,648x = 391,421 × 391,421
  4. Step 4: Simplify right side
    267,648x = 153,210,399,241
  5. Step 5: Solve for x
    x = 153,210,399,241/267,648
  6. Step 6: Final answer
    x = 572,432.45

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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.