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Finding the Third Proportional to 256,756.50 and 340,767

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Solution

The third proportional to 256,756.50 and 340,767 is: 452,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,756.50 : 340,767 = 340,767 : x
  2. Step 2: Convert to fraction form
    256,756.50/340,767 = 340,767/x
  3. Step 3: Cross multiply
    256,756.50x = 340,767 × 340,767
  4. Step 4: Simplify right side
    256,756.50x = 116,122,148,289
  5. Step 5: Solve for x
    x = 116,122,148,289/256,756.50
  6. Step 6: Final answer
    x = 452,265.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.