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Finding the Third Proportional to 170,488 and 258,096

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Solution

The third proportional to 170,488 and 258,096 is: 390,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,488 : 258,096 = 258,096 : x
  2. Step 2: Convert to fraction form
    170,488/258,096 = 258,096/x
  3. Step 3: Cross multiply
    170,488x = 258,096 × 258,096
  4. Step 4: Simplify right side
    170,488x = 66,613,545,216
  5. Step 5: Solve for x
    x = 66,613,545,216/170,488
  6. Step 6: Final answer
    x = 390,722.78

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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.