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Finding the Third Proportional to 129,390 and 178,173

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Solution

The third proportional to 129,390 and 178,173 is: 245,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,390 : 178,173 = 178,173 : x
  2. Step 2: Convert to fraction form
    129,390/178,173 = 178,173/x
  3. Step 3: Cross multiply
    129,390x = 178,173 × 178,173
  4. Step 4: Simplify right side
    129,390x = 31,745,617,929
  5. Step 5: Solve for x
    x = 31,745,617,929/129,390
  6. Step 6: Final answer
    x = 245,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.