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Finding the Third Proportional to 222,666 and 344,367

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Solution

The third proportional to 222,666 and 344,367 is: 532,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,666 : 344,367 = 344,367 : x
  2. Step 2: Convert to fraction form
    222,666/344,367 = 344,367/x
  3. Step 3: Cross multiply
    222,666x = 344,367 × 344,367
  4. Step 4: Simplify right side
    222,666x = 118,588,630,689
  5. Step 5: Solve for x
    x = 118,588,630,689/222,666
  6. Step 6: Final answer
    x = 532,585.27

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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.