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Finding the Third Proportional to 69,135 and 109,930

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Solution

The third proportional to 69,135 and 109,930 is: 174,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,135 : 109,930 = 109,930 : x
  2. Step 2: Convert to fraction form
    69,135/109,930 = 109,930/x
  3. Step 3: Cross multiply
    69,135x = 109,930 × 109,930
  4. Step 4: Simplify right side
    69,135x = 12,084,604,900
  5. Step 5: Solve for x
    x = 12,084,604,900/69,135
  6. Step 6: Final answer
    x = 174,797.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.