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Finding the Third Proportional to 69,840 and 151,828

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Solution

The third proportional to 69,840 and 151,828 is: 330,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,840 : 151,828 = 151,828 : x
  2. Step 2: Convert to fraction form
    69,840/151,828 = 151,828/x
  3. Step 3: Cross multiply
    69,840x = 151,828 × 151,828
  4. Step 4: Simplify right side
    69,840x = 23,051,741,584
  5. Step 5: Solve for x
    x = 23,051,741,584/69,840
  6. Step 6: Final answer
    x = 330,065.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.