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Finding the Third Proportional to 118,149 and 179,409

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Solution

The third proportional to 118,149 and 179,409 is: 272,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,149 : 179,409 = 179,409 : x
  2. Step 2: Convert to fraction form
    118,149/179,409 = 179,409/x
  3. Step 3: Cross multiply
    118,149x = 179,409 × 179,409
  4. Step 4: Simplify right side
    118,149x = 32,187,589,281
  5. Step 5: Solve for x
    x = 32,187,589,281/118,149
  6. Step 6: Final answer
    x = 272,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.