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Finding the Third Proportional to 330,820.13 and 717,641.25

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Solution

The third proportional to 330,820.13 and 717,641.25 is: 1,556,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,820.13 : 717,641.25 = 717,641.25 : x
  2. Step 2: Convert to fraction form
    330,820.13/717,641.25 = 717,641.25/x
  3. Step 3: Cross multiply
    330,820.13x = 717,641.25 × 717,641.25
  4. Step 4: Simplify right side
    330,820.13x = 515,008,963,701.56
  5. Step 5: Solve for x
    x = 515,008,963,701.56/330,820.13
  6. Step 6: Final answer
    x = 1,556,764.31

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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.