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Finding the Third Proportional to 259,741.69 and 414,934.31

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Solution

The third proportional to 259,741.69 and 414,934.31 is: 662,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,741.69 : 414,934.31 = 414,934.31 : x
  2. Step 2: Convert to fraction form
    259,741.69/414,934.31 = 414,934.31/x
  3. Step 3: Cross multiply
    259,741.69x = 414,934.31 × 414,934.31
  4. Step 4: Simplify right side
    259,741.69x = 172,170,483,689.85
  5. Step 5: Solve for x
    x = 172,170,483,689.85/259,741.69
  6. Step 6: Final answer
    x = 662,852.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.