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Finding the Third Proportional to 69,744 and 148,200

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Solution

The third proportional to 69,744 and 148,200 is: 314,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,744 : 148,200 = 148,200 : x
  2. Step 2: Convert to fraction form
    69,744/148,200 = 148,200/x
  3. Step 3: Cross multiply
    69,744x = 148,200 × 148,200
  4. Step 4: Simplify right side
    69,744x = 21,963,240,000
  5. Step 5: Solve for x
    x = 21,963,240,000/69,744
  6. Step 6: Final answer
    x = 314,912.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.