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Finding the Third Proportional to 69,031 and 106,069

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Solution

The third proportional to 69,031 and 106,069 is: 162,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,031 : 106,069 = 106,069 : x
  2. Step 2: Convert to fraction form
    69,031/106,069 = 106,069/x
  3. Step 3: Cross multiply
    69,031x = 106,069 × 106,069
  4. Step 4: Simplify right side
    69,031x = 11,250,632,761
  5. Step 5: Solve for x
    x = 11,250,632,761/69,031
  6. Step 6: Final answer
    x = 162,979.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.