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Finding the Third Proportional to 170,471 and 260,897

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Solution

The third proportional to 170,471 and 260,897 is: 399,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,471 : 260,897 = 260,897 : x
  2. Step 2: Convert to fraction form
    170,471/260,897 = 260,897/x
  3. Step 3: Cross multiply
    170,471x = 260,897 × 260,897
  4. Step 4: Simplify right side
    170,471x = 68,067,244,609
  5. Step 5: Solve for x
    x = 68,067,244,609/170,471
  6. Step 6: Final answer
    x = 399,289.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.