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Finding the Third Proportional to 339,576.75 and 707,280.75

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Solution

The third proportional to 339,576.75 and 707,280.75 is: 1,473,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,576.75 : 707,280.75 = 707,280.75 : x
  2. Step 2: Convert to fraction form
    339,576.75/707,280.75 = 707,280.75/x
  3. Step 3: Cross multiply
    339,576.75x = 707,280.75 × 707,280.75
  4. Step 4: Simplify right side
    339,576.75x = 500,246,059,320.56
  5. Step 5: Solve for x
    x = 500,246,059,320.56/339,576.75
  6. Step 6: Final answer
    x = 1,473,145.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.