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Finding the Third Proportional to 153,922 and 206,851

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Solution

The third proportional to 153,922 and 206,851 is: 277,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,922 : 206,851 = 206,851 : x
  2. Step 2: Convert to fraction form
    153,922/206,851 = 206,851/x
  3. Step 3: Cross multiply
    153,922x = 206,851 × 206,851
  4. Step 4: Simplify right side
    153,922x = 42,787,336,201
  5. Step 5: Solve for x
    x = 42,787,336,201/153,922
  6. Step 6: Final answer
    x = 277,980.64

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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.