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Finding the Third Proportional to 31,967 and 70,279

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Solution

The third proportional to 31,967 and 70,279 is: 154,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967 : 70,279 = 70,279 : x
  2. Step 2: Convert to fraction form
    31,967/70,279 = 70,279/x
  3. Step 3: Cross multiply
    31,967x = 70,279 × 70,279
  4. Step 4: Simplify right side
    31,967x = 4,939,137,841
  5. Step 5: Solve for x
    x = 4,939,137,841/31,967
  6. Step 6: Final answer
    x = 154,507.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.