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Finding the Third Proportional to 118,302 and 178,865

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Solution

The third proportional to 118,302 and 178,865 is: 270,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,302 : 178,865 = 178,865 : x
  2. Step 2: Convert to fraction form
    118,302/178,865 = 178,865/x
  3. Step 3: Cross multiply
    118,302x = 178,865 × 178,865
  4. Step 4: Simplify right side
    118,302x = 31,992,688,225
  5. Step 5: Solve for x
    x = 31,992,688,225/118,302
  6. Step 6: Final answer
    x = 270,432.35

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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.