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Finding the Third Proportional to 267,658 and 391,433

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Solution

The third proportional to 267,658 and 391,433 is: 572,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,658 : 391,433 = 391,433 : x
  2. Step 2: Convert to fraction form
    267,658/391,433 = 391,433/x
  3. Step 3: Cross multiply
    267,658x = 391,433 × 391,433
  4. Step 4: Simplify right side
    267,658x = 153,219,793,489
  5. Step 5: Solve for x
    x = 153,219,793,489/267,658
  6. Step 6: Final answer
    x = 572,446.16

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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.