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Finding the Third Proportional to 259,176.38 and 405,693.98

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Solution

The third proportional to 259,176.38 and 405,693.98 is: 635,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,176.38 : 405,693.98 = 405,693.98 : x
  2. Step 2: Convert to fraction form
    259,176.38/405,693.98 = 405,693.98/x
  3. Step 3: Cross multiply
    259,176.38x = 405,693.98 × 405,693.98
  4. Step 4: Simplify right side
    259,176.38x = 164,587,608,958.06
  5. Step 5: Solve for x
    x = 164,587,608,958.06/259,176.38
  6. Step 6: Final answer
    x = 635,040.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.