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Finding the Third Proportional to 226,020 and 309,919

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Solution

The third proportional to 226,020 and 309,919 is: 424,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,020 : 309,919 = 309,919 : x
  2. Step 2: Convert to fraction form
    226,020/309,919 = 309,919/x
  3. Step 3: Cross multiply
    226,020x = 309,919 × 309,919
  4. Step 4: Simplify right side
    226,020x = 96,049,786,561
  5. Step 5: Solve for x
    x = 96,049,786,561/226,020
  6. Step 6: Final answer
    x = 424,961.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.