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Finding the Third Proportional to 222,782 and 344,727

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Solution

The third proportional to 222,782 and 344,727 is: 533,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,782 : 344,727 = 344,727 : x
  2. Step 2: Convert to fraction form
    222,782/344,727 = 344,727/x
  3. Step 3: Cross multiply
    222,782x = 344,727 × 344,727
  4. Step 4: Simplify right side
    222,782x = 118,836,704,529
  5. Step 5: Solve for x
    x = 118,836,704,529/222,782
  6. Step 6: Final answer
    x = 533,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.