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Finding the Third Proportional to 391,915 and 572,749

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Solution

The third proportional to 391,915 and 572,749 is: 837,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,915 : 572,749 = 572,749 : x
  2. Step 2: Convert to fraction form
    391,915/572,749 = 572,749/x
  3. Step 3: Cross multiply
    391,915x = 572,749 × 572,749
  4. Step 4: Simplify right side
    391,915x = 328,041,417,001
  5. Step 5: Solve for x
    x = 328,041,417,001/391,915
  6. Step 6: Final answer
    x = 837,021.85

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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.