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Finding the Third Proportional to 223,856 and 337,940

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Solution

The third proportional to 223,856 and 337,940 is: 510,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,856 : 337,940 = 337,940 : x
  2. Step 2: Convert to fraction form
    223,856/337,940 = 337,940/x
  3. Step 3: Cross multiply
    223,856x = 337,940 × 337,940
  4. Step 4: Simplify right side
    223,856x = 114,203,443,600
  5. Step 5: Solve for x
    x = 114,203,443,600/223,856
  6. Step 6: Final answer
    x = 510,164.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.