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Finding the Third Proportional to 378,352.13 and 814,106.25

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Solution

The third proportional to 378,352.13 and 814,106.25 is: 1,751,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,352.13 : 814,106.25 = 814,106.25 : x
  2. Step 2: Convert to fraction form
    378,352.13/814,106.25 = 814,106.25/x
  3. Step 3: Cross multiply
    378,352.13x = 814,106.25 × 814,106.25
  4. Step 4: Simplify right side
    378,352.13x = 662,768,986,289.06
  5. Step 5: Solve for x
    x = 662,768,986,289.06/378,352.13
  6. Step 6: Final answer
    x = 1,751,725.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.