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Finding the Third Proportional to 122,251.78 and 255,651.19

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Solution

The third proportional to 122,251.78 and 255,651.19 is: 534,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,251.78 : 255,651.19 = 255,651.19 : x
  2. Step 2: Convert to fraction form
    122,251.78/255,651.19 = 255,651.19/x
  3. Step 3: Cross multiply
    122,251.78x = 255,651.19 × 255,651.19
  4. Step 4: Simplify right side
    122,251.78x = 65,357,529,670.16
  5. Step 5: Solve for x
    x = 65,357,529,670.16/122,251.78
  6. Step 6: Final answer
    x = 534,614.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.