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Finding the Third Proportional to 166,476 and 256,154

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Solution

The third proportional to 166,476 and 256,154 is: 394,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,476 : 256,154 = 256,154 : x
  2. Step 2: Convert to fraction form
    166,476/256,154 = 256,154/x
  3. Step 3: Cross multiply
    166,476x = 256,154 × 256,154
  4. Step 4: Simplify right side
    166,476x = 65,614,871,716
  5. Step 5: Solve for x
    x = 65,614,871,716/166,476
  6. Step 6: Final answer
    x = 394,140.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.