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Finding the Third Proportional to 391,910.75 and 572,743.88

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Solution

The third proportional to 391,910.75 and 572,743.88 is: 837,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,910.75 : 572,743.88 = 572,743.88 : x
  2. Step 2: Convert to fraction form
    391,910.75/572,743.88 = 572,743.88/x
  3. Step 3: Cross multiply
    391,910.75x = 572,743.88 × 572,743.88
  4. Step 4: Simplify right side
    391,910.75x = 328,035,546,350.02
  5. Step 5: Solve for x
    x = 328,035,546,350.02/391,910.75
  6. Step 6: Final answer
    x = 837,015.94

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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.