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Finding the Third Proportional to 31,066 and 66,506

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Solution

The third proportional to 31,066 and 66,506 is: 142,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066 : 66,506 = 66,506 : x
  2. Step 2: Convert to fraction form
    31,066/66,506 = 66,506/x
  3. Step 3: Cross multiply
    31,066x = 66,506 × 66,506
  4. Step 4: Simplify right side
    31,066x = 4,423,048,036
  5. Step 5: Solve for x
    x = 4,423,048,036/31,066
  6. Step 6: Final answer
    x = 142,375.85

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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.