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Finding the Third Proportional to 47,420 and 69,177

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Solution

The third proportional to 47,420 and 69,177 is: 100,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420 : 69,177 = 69,177 : x
  2. Step 2: Convert to fraction form
    47,420/69,177 = 69,177/x
  3. Step 3: Cross multiply
    47,420x = 69,177 × 69,177
  4. Step 4: Simplify right side
    47,420x = 4,785,457,329
  5. Step 5: Solve for x
    x = 4,785,457,329/47,420
  6. Step 6: Final answer
    x = 100,916.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.