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Finding the Third Proportional to 259,682.06 and 391,231.69

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Solution

The third proportional to 259,682.06 and 391,231.69 is: 589,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,682.06 : 391,231.69 = 391,231.69 : x
  2. Step 2: Convert to fraction form
    259,682.06/391,231.69 = 391,231.69/x
  3. Step 3: Cross multiply
    259,682.06x = 391,231.69 × 391,231.69
  4. Step 4: Simplify right side
    259,682.06x = 153,062,233,304.10
  5. Step 5: Solve for x
    x = 153,062,233,304.10/259,682.06
  6. Step 6: Final answer
    x = 589,421.66

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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.