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Finding the Third Proportional to 258,759 and 356,316.75

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Solution

The third proportional to 258,759 and 356,316.75 is: 490,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,759 : 356,316.75 = 356,316.75 : x
  2. Step 2: Convert to fraction form
    258,759/356,316.75 = 356,316.75/x
  3. Step 3: Cross multiply
    258,759x = 356,316.75 × 356,316.75
  4. Step 4: Simplify right side
    258,759x = 126,961,626,330.56
  5. Step 5: Solve for x
    x = 126,961,626,330.56/258,759
  6. Step 6: Final answer
    x = 490,655.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.