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Finding the Third Proportional to 330,820.31 and 717,642.56

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Solution

The third proportional to 330,820.31 and 717,642.56 is: 1,556,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,820.31 : 717,642.56 = 717,642.56 : x
  2. Step 2: Convert to fraction form
    330,820.31/717,642.56 = 717,642.56/x
  3. Step 3: Cross multiply
    330,820.31x = 717,642.56 × 717,642.56
  4. Step 4: Simplify right side
    330,820.31x = 515,010,847,511.57
  5. Step 5: Solve for x
    x = 515,010,847,511.57/330,820.31
  6. Step 6: Final answer
    x = 1,556,769.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.