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Finding the Third Proportional to 154,488 and 206,916

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Solution

The third proportional to 154,488 and 206,916 is: 277,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,488 : 206,916 = 206,916 : x
  2. Step 2: Convert to fraction form
    154,488/206,916 = 206,916/x
  3. Step 3: Cross multiply
    154,488x = 206,916 × 206,916
  4. Step 4: Simplify right side
    154,488x = 42,814,231,056
  5. Step 5: Solve for x
    x = 42,814,231,056/154,488
  6. Step 6: Final answer
    x = 277,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.