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Finding the Third Proportional to 259,760.25 and 390,396.38

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Solution

The third proportional to 259,760.25 and 390,396.38 is: 586,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,760.25 : 390,396.38 = 390,396.38 : x
  2. Step 2: Convert to fraction form
    259,760.25/390,396.38 = 390,396.38/x
  3. Step 3: Cross multiply
    259,760.25x = 390,396.38 × 390,396.38
  4. Step 4: Simplify right side
    259,760.25x = 152,409,329,613.14
  5. Step 5: Solve for x
    x = 152,409,329,613.14/259,760.25
  6. Step 6: Final answer
    x = 586,730.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.