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Finding the Third Proportional to 259,369.59 and 396,925.31

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Solution

The third proportional to 259,369.59 and 396,925.31 is: 607,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,369.59 : 396,925.31 = 396,925.31 : x
  2. Step 2: Convert to fraction form
    259,369.59/396,925.31 = 396,925.31/x
  3. Step 3: Cross multiply
    259,369.59x = 396,925.31 × 396,925.31
  4. Step 4: Simplify right side
    259,369.59x = 157,549,703,703.22
  5. Step 5: Solve for x
    x = 157,549,703,703.22/259,369.59
  6. Step 6: Final answer
    x = 607,433.21

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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.