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Finding the Third Proportional to 118,278 and 178,650

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Solution

The third proportional to 118,278 and 178,650 is: 269,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,278 : 178,650 = 178,650 : x
  2. Step 2: Convert to fraction form
    118,278/178,650 = 178,650/x
  3. Step 3: Cross multiply
    118,278x = 178,650 × 178,650
  4. Step 4: Simplify right side
    118,278x = 31,915,822,500
  5. Step 5: Solve for x
    x = 31,915,822,500/118,278
  6. Step 6: Final answer
    x = 269,837.35

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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.