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Finding the Third Proportional to 69,248 and 150,640

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Solution

The third proportional to 69,248 and 150,640 is: 327,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,248 : 150,640 = 150,640 : x
  2. Step 2: Convert to fraction form
    69,248/150,640 = 150,640/x
  3. Step 3: Cross multiply
    69,248x = 150,640 × 150,640
  4. Step 4: Simplify right side
    69,248x = 22,692,409,600
  5. Step 5: Solve for x
    x = 22,692,409,600/69,248
  6. Step 6: Final answer
    x = 327,697.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.