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Finding the Third Proportional to 101,625 and 222,624

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Solution

The third proportional to 101,625 and 222,624 is: 487,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,625 : 222,624 = 222,624 : x
  2. Step 2: Convert to fraction form
    101,625/222,624 = 222,624/x
  3. Step 3: Cross multiply
    101,625x = 222,624 × 222,624
  4. Step 4: Simplify right side
    101,625x = 49,561,445,376
  5. Step 5: Solve for x
    x = 49,561,445,376/101,625
  6. Step 6: Final answer
    x = 487,689.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.