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Finding the Third Proportional to 223,687 and 338,788

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Solution

The third proportional to 223,687 and 338,788 is: 513,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,687 : 338,788 = 338,788 : x
  2. Step 2: Convert to fraction form
    223,687/338,788 = 338,788/x
  3. Step 3: Cross multiply
    223,687x = 338,788 × 338,788
  4. Step 4: Simplify right side
    223,687x = 114,777,308,944
  5. Step 5: Solve for x
    x = 114,777,308,944/223,687
  6. Step 6: Final answer
    x = 513,115.69

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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.