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Finding the Third Proportional to 342,291.38 and 763,287.75

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Solution

The third proportional to 342,291.38 and 763,287.75 is: 1,702,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,291.38 : 763,287.75 = 763,287.75 : x
  2. Step 2: Convert to fraction form
    342,291.38/763,287.75 = 763,287.75/x
  3. Step 3: Cross multiply
    342,291.38x = 763,287.75 × 763,287.75
  4. Step 4: Simplify right side
    342,291.38x = 582,608,189,300.06
  5. Step 5: Solve for x
    x = 582,608,189,300.06/342,291.38
  6. Step 6: Final answer
    x = 1,702,082.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.