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Finding the Third Proportional to 207,919 and 273,016

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Solution

The third proportional to 207,919 and 273,016 is: 358,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,919 : 273,016 = 273,016 : x
  2. Step 2: Convert to fraction form
    207,919/273,016 = 273,016/x
  3. Step 3: Cross multiply
    207,919x = 273,016 × 273,016
  4. Step 4: Simplify right side
    207,919x = 74,537,736,256
  5. Step 5: Solve for x
    x = 74,537,736,256/207,919
  6. Step 6: Final answer
    x = 358,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.