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Finding the Third Proportional to 372,890 and 559,227

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Solution

The third proportional to 372,890 and 559,227 is: 838,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,890 : 559,227 = 559,227 : x
  2. Step 2: Convert to fraction form
    372,890/559,227 = 559,227/x
  3. Step 3: Cross multiply
    372,890x = 559,227 × 559,227
  4. Step 4: Simplify right side
    372,890x = 312,734,837,529
  5. Step 5: Solve for x
    x = 312,734,837,529/372,890
  6. Step 6: Final answer
    x = 838,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.