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Finding the Third Proportional to 69,930 and 106,971

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Solution

The third proportional to 69,930 and 106,971 is: 163,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,930 : 106,971 = 106,971 : x
  2. Step 2: Convert to fraction form
    69,930/106,971 = 106,971/x
  3. Step 3: Cross multiply
    69,930x = 106,971 × 106,971
  4. Step 4: Simplify right side
    69,930x = 11,442,794,841
  5. Step 5: Solve for x
    x = 11,442,794,841/69,930
  6. Step 6: Final answer
    x = 163,632.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.