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Finding the Third Proportional to 69,729 and 104,752

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Solution

The third proportional to 69,729 and 104,752 is: 157,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729 : 104,752 = 104,752 : x
  2. Step 2: Convert to fraction form
    69,729/104,752 = 104,752/x
  3. Step 3: Cross multiply
    69,729x = 104,752 × 104,752
  4. Step 4: Simplify right side
    69,729x = 10,972,981,504
  5. Step 5: Solve for x
    x = 10,972,981,504/69,729
  6. Step 6: Final answer
    x = 157,366.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.