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Finding the Third Proportional to 118,856 and 222,928

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Solution

The third proportional to 118,856 and 222,928 is: 418,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,856 : 222,928 = 222,928 : x
  2. Step 2: Convert to fraction form
    118,856/222,928 = 222,928/x
  3. Step 3: Cross multiply
    118,856x = 222,928 × 222,928
  4. Step 4: Simplify right side
    118,856x = 49,696,893,184
  5. Step 5: Solve for x
    x = 49,696,893,184/118,856
  6. Step 6: Final answer
    x = 418,126.92

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.