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Finding the Third Proportional to 170,808 and 256,761

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Solution

The third proportional to 170,808 and 256,761 is: 385,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,808 : 256,761 = 256,761 : x
  2. Step 2: Convert to fraction form
    170,808/256,761 = 256,761/x
  3. Step 3: Cross multiply
    170,808x = 256,761 × 256,761
  4. Step 4: Simplify right side
    170,808x = 65,926,211,121
  5. Step 5: Solve for x
    x = 65,926,211,121/170,808
  6. Step 6: Final answer
    x = 385,966.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.