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Finding the Third Proportional to 256,780.13 and 400,713.75

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Solution

The third proportional to 256,780.13 and 400,713.75 is: 625,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,780.13 : 400,713.75 = 400,713.75 : x
  2. Step 2: Convert to fraction form
    256,780.13/400,713.75 = 400,713.75/x
  3. Step 3: Cross multiply
    256,780.13x = 400,713.75 × 400,713.75
  4. Step 4: Simplify right side
    256,780.13x = 160,571,509,439.06
  5. Step 5: Solve for x
    x = 160,571,509,439.06/256,780.13
  6. Step 6: Final answer
    x = 625,326.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.