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Finding the Third Proportional to 421,071.75 and 647,227.13

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Solution

The third proportional to 421,071.75 and 647,227.13 is: 994,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,071.75 : 647,227.13 = 647,227.13 : x
  2. Step 2: Convert to fraction form
    421,071.75/647,227.13 = 647,227.13/x
  3. Step 3: Cross multiply
    421,071.75x = 647,227.13 × 647,227.13
  4. Step 4: Simplify right side
    421,071.75x = 418,902,951,335.77
  5. Step 5: Solve for x
    x = 418,902,951,335.77/421,071.75
  6. Step 6: Final answer
    x = 994,849.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.