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Finding the Third Proportional to 31,066 and 66,485

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Solution

The third proportional to 31,066 and 66,485 is: 142,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066 : 66,485 = 66,485 : x
  2. Step 2: Convert to fraction form
    31,066/66,485 = 66,485/x
  3. Step 3: Cross multiply
    31,066x = 66,485 × 66,485
  4. Step 4: Simplify right side
    31,066x = 4,420,255,225
  5. Step 5: Solve for x
    x = 4,420,255,225/31,066
  6. Step 6: Final answer
    x = 142,285.95

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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.