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Finding the Third Proportional to 31,124 and 66,622

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Solution

The third proportional to 31,124 and 66,622 is: 142,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124 : 66,622 = 66,622 : x
  2. Step 2: Convert to fraction form
    31,124/66,622 = 66,622/x
  3. Step 3: Cross multiply
    31,124x = 66,622 × 66,622
  4. Step 4: Simplify right side
    31,124x = 4,438,490,884
  5. Step 5: Solve for x
    x = 4,438,490,884/31,124
  6. Step 6: Final answer
    x = 142,606.70

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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.