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Finding the Third Proportional to 339,432.19 and 707,020.31

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Solution

The third proportional to 339,432.19 and 707,020.31 is: 1,472,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,432.19 : 707,020.31 = 707,020.31 : x
  2. Step 2: Convert to fraction form
    339,432.19/707,020.31 = 707,020.31/x
  3. Step 3: Cross multiply
    339,432.19x = 707,020.31 × 707,020.31
  4. Step 4: Simplify right side
    339,432.19x = 499,877,722,287.60
  5. Step 5: Solve for x
    x = 499,877,722,287.60/339,432.19
  6. Step 6: Final answer
    x = 1,472,688.04

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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.