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Finding the Third Proportional to 391,296 and 559,680

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Solution

The third proportional to 391,296 and 559,680 is: 800,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,296 : 559,680 = 559,680 : x
  2. Step 2: Convert to fraction form
    391,296/559,680 = 559,680/x
  3. Step 3: Cross multiply
    391,296x = 559,680 × 559,680
  4. Step 4: Simplify right side
    391,296x = 313,241,702,400
  5. Step 5: Solve for x
    x = 313,241,702,400/391,296
  6. Step 6: Final answer
    x = 800,523.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.