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Finding the Third Proportional to 166,368 and 255,978

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Solution

The third proportional to 166,368 and 255,978 is: 393,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,368 : 255,978 = 255,978 : x
  2. Step 2: Convert to fraction form
    166,368/255,978 = 255,978/x
  3. Step 3: Cross multiply
    166,368x = 255,978 × 255,978
  4. Step 4: Simplify right side
    166,368x = 65,524,736,484
  5. Step 5: Solve for x
    x = 65,524,736,484/166,368
  6. Step 6: Final answer
    x = 393,854.21

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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.