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Finding the Third Proportional to 539,601.75 and 779,564.25

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Solution

The third proportional to 539,601.75 and 779,564.25 is: 1,126,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,601.75 : 779,564.25 = 779,564.25 : x
  2. Step 2: Convert to fraction form
    539,601.75/779,564.25 = 779,564.25/x
  3. Step 3: Cross multiply
    539,601.75x = 779,564.25 × 779,564.25
  4. Step 4: Simplify right side
    539,601.75x = 607,720,419,878.06
  5. Step 5: Solve for x
    x = 607,720,419,878.06/539,601.75
  6. Step 6: Final answer
    x = 1,126,238.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.