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Finding the Third Proportional to 258,324.75 and 561,473.25

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Solution

The third proportional to 258,324.75 and 561,473.25 is: 1,220,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324.75 : 561,473.25 = 561,473.25 : x
  2. Step 2: Convert to fraction form
    258,324.75/561,473.25 = 561,473.25/x
  3. Step 3: Cross multiply
    258,324.75x = 561,473.25 × 561,473.25
  4. Step 4: Simplify right side
    258,324.75x = 315,252,210,465.56
  5. Step 5: Solve for x
    x = 315,252,210,465.56/258,324.75
  6. Step 6: Final answer
    x = 1,220,371.69

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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.