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Finding the Third Proportional to 69,124 and 151,640

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Solution

The third proportional to 69,124 and 151,640 is: 332,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124 : 151,640 = 151,640 : x
  2. Step 2: Convert to fraction form
    69,124/151,640 = 151,640/x
  3. Step 3: Cross multiply
    69,124x = 151,640 × 151,640
  4. Step 4: Simplify right side
    69,124x = 22,994,689,600
  5. Step 5: Solve for x
    x = 22,994,689,600/69,124
  6. Step 6: Final answer
    x = 332,658.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.