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Finding the Third Proportional to 111,400.31 and 256,494.09

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Solution

The third proportional to 111,400.31 and 256,494.09 is: 590,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,400.31 : 256,494.09 = 256,494.09 : x
  2. Step 2: Convert to fraction form
    111,400.31/256,494.09 = 256,494.09/x
  3. Step 3: Cross multiply
    111,400.31x = 256,494.09 × 256,494.09
  4. Step 4: Simplify right side
    111,400.31x = 65,789,220,128.63
  5. Step 5: Solve for x
    x = 65,789,220,128.63/111,400.31
  6. Step 6: Final answer
    x = 590,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.