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Finding the Third Proportional to 258,189.75 and 426,676.50

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Solution

The third proportional to 258,189.75 and 426,676.50 is: 705,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,189.75 : 426,676.50 = 426,676.50 : x
  2. Step 2: Convert to fraction form
    258,189.75/426,676.50 = 426,676.50/x
  3. Step 3: Cross multiply
    258,189.75x = 426,676.50 × 426,676.50
  4. Step 4: Simplify right side
    258,189.75x = 182,052,835,652.25
  5. Step 5: Solve for x
    x = 182,052,835,652.25/258,189.75
  6. Step 6: Final answer
    x = 705,112.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.