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Finding the Third Proportional to 256,348.88 and 552,139.88

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Solution

The third proportional to 256,348.88 and 552,139.88 is: 1,189,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,348.88 : 552,139.88 = 552,139.88 : x
  2. Step 2: Convert to fraction form
    256,348.88/552,139.88 = 552,139.88/x
  3. Step 3: Cross multiply
    256,348.88x = 552,139.88 × 552,139.88
  4. Step 4: Simplify right side
    256,348.88x = 304,858,441,565.02
  5. Step 5: Solve for x
    x = 304,858,441,565.02/256,348.88
  6. Step 6: Final answer
    x = 1,189,232.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.