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Finding the Third Proportional to 104,536 and 222,559

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Solution

The third proportional to 104,536 and 222,559 is: 473,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,536 : 222,559 = 222,559 : x
  2. Step 2: Convert to fraction form
    104,536/222,559 = 222,559/x
  3. Step 3: Cross multiply
    104,536x = 222,559 × 222,559
  4. Step 4: Simplify right side
    104,536x = 49,532,508,481
  5. Step 5: Solve for x
    x = 49,532,508,481/104,536
  6. Step 6: Final answer
    x = 473,832.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.