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Finding the Third Proportional to 118,288 and 178,664

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Solution

The third proportional to 118,288 and 178,664 is: 269,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,288 : 178,664 = 178,664 : x
  2. Step 2: Convert to fraction form
    118,288/178,664 = 178,664/x
  3. Step 3: Cross multiply
    118,288x = 178,664 × 178,664
  4. Step 4: Simplify right side
    118,288x = 31,920,824,896
  5. Step 5: Solve for x
    x = 31,920,824,896/118,288
  6. Step 6: Final answer
    x = 269,856.83

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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.