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Finding the Third Proportional to 391,911 and 572,744

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Solution

The third proportional to 391,911 and 572,744 is: 837,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,911 : 572,744 = 572,744 : x
  2. Step 2: Convert to fraction form
    391,911/572,744 = 572,744/x
  3. Step 3: Cross multiply
    391,911x = 572,744 × 572,744
  4. Step 4: Simplify right side
    391,911x = 328,035,689,536
  5. Step 5: Solve for x
    x = 328,035,689,536/391,911
  6. Step 6: Final answer
    x = 837,015.78

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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.