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Finding the Third Proportional to 255,081.75 and 381,290.25

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Solution

The third proportional to 255,081.75 and 381,290.25 is: 569,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,081.75 : 381,290.25 = 381,290.25 : x
  2. Step 2: Convert to fraction form
    255,081.75/381,290.25 = 381,290.25/x
  3. Step 3: Cross multiply
    255,081.75x = 381,290.25 × 381,290.25
  4. Step 4: Simplify right side
    255,081.75x = 145,382,254,745.06
  5. Step 5: Solve for x
    x = 145,382,254,745.06/255,081.75
  6. Step 6: Final answer
    x = 569,943.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.