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Finding the Third Proportional to 69,756 and 149,088

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Solution

The third proportional to 69,756 and 149,088 is: 318,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,756 : 149,088 = 149,088 : x
  2. Step 2: Convert to fraction form
    69,756/149,088 = 149,088/x
  3. Step 3: Cross multiply
    69,756x = 149,088 × 149,088
  4. Step 4: Simplify right side
    69,756x = 22,227,231,744
  5. Step 5: Solve for x
    x = 22,227,231,744/69,756
  6. Step 6: Final answer
    x = 318,642.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.