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Finding the Third Proportional to 29,688 and 69,036

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Solution

The third proportional to 29,688 and 69,036 is: 160,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 69,036 = 69,036 : x
  2. Step 2: Convert to fraction form
    29,688/69,036 = 69,036/x
  3. Step 3: Cross multiply
    29,688x = 69,036 × 69,036
  4. Step 4: Simplify right side
    29,688x = 4,765,969,296
  5. Step 5: Solve for x
    x = 4,765,969,296/29,688
  6. Step 6: Final answer
    x = 160,535.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.