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Finding the Third Proportional to 223,267 and 334,941

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Solution

The third proportional to 223,267 and 334,941 is: 502,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,267 : 334,941 = 334,941 : x
  2. Step 2: Convert to fraction form
    223,267/334,941 = 334,941/x
  3. Step 3: Cross multiply
    223,267x = 334,941 × 334,941
  4. Step 4: Simplify right side
    223,267x = 112,185,473,481
  5. Step 5: Solve for x
    x = 112,185,473,481/223,267
  6. Step 6: Final answer
    x = 502,472.26

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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.