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Finding the Third Proportional to 118,251 and 178,605

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Solution

The third proportional to 118,251 and 178,605 is: 269,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,251 : 178,605 = 178,605 : x
  2. Step 2: Convert to fraction form
    118,251/178,605 = 178,605/x
  3. Step 3: Cross multiply
    118,251x = 178,605 × 178,605
  4. Step 4: Simplify right side
    118,251x = 31,899,746,025
  5. Step 5: Solve for x
    x = 31,899,746,025/118,251
  6. Step 6: Final answer
    x = 269,763.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.