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Finding the Third Proportional to 256,856.25 and 410,191.88

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Solution

The third proportional to 256,856.25 and 410,191.88 is: 655,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856.25 : 410,191.88 = 410,191.88 : x
  2. Step 2: Convert to fraction form
    256,856.25/410,191.88 = 410,191.88/x
  3. Step 3: Cross multiply
    256,856.25x = 410,191.88 × 410,191.88
  4. Step 4: Simplify right side
    256,856.25x = 168,257,374,316.02
  5. Step 5: Solve for x
    x = 168,257,374,316.02/256,856.25
  6. Step 6: Final answer
    x = 655,064.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.