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Finding the Third Proportional to 31,140 and 66,652

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Solution

The third proportional to 31,140 and 66,652 is: 142,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 66,652 = 66,652 : x
  2. Step 2: Convert to fraction form
    31,140/66,652 = 66,652/x
  3. Step 3: Cross multiply
    31,140x = 66,652 × 66,652
  4. Step 4: Simplify right side
    31,140x = 4,442,489,104
  5. Step 5: Solve for x
    x = 4,442,489,104/31,140
  6. Step 6: Final answer
    x = 142,661.82

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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.