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Finding the Third Proportional to 256,074.75 and 387,633.38

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Solution

The third proportional to 256,074.75 and 387,633.38 is: 586,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.75 : 387,633.38 = 387,633.38 : x
  2. Step 2: Convert to fraction form
    256,074.75/387,633.38 = 387,633.38/x
  3. Step 3: Cross multiply
    256,074.75x = 387,633.38 × 387,633.38
  4. Step 4: Simplify right side
    256,074.75x = 150,259,633,413.89
  5. Step 5: Solve for x
    x = 150,259,633,413.89/256,074.75
  6. Step 6: Final answer
    x = 586,780.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.