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Finding the Third Proportional to 259,338.90 and 605,739.20

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Solution

The third proportional to 259,338.90 and 605,739.20 is: 1,414,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,338.90 : 605,739.20 = 605,739.20 : x
  2. Step 2: Convert to fraction form
    259,338.90/605,739.20 = 605,739.20/x
  3. Step 3: Cross multiply
    259,338.90x = 605,739.20 × 605,739.20
  4. Step 4: Simplify right side
    259,338.90x = 366,919,977,470.17
  5. Step 5: Solve for x
    x = 366,919,977,470.17/259,338.90
  6. Step 6: Final answer
    x = 1,414,828.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.