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Finding the Third Proportional to 30,709 and 66,266

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Solution

The third proportional to 30,709 and 66,266 is: 142,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 66,266 = 66,266 : x
  2. Step 2: Convert to fraction form
    30,709/66,266 = 66,266/x
  3. Step 3: Cross multiply
    30,709x = 66,266 × 66,266
  4. Step 4: Simplify right side
    30,709x = 4,391,182,756
  5. Step 5: Solve for x
    x = 4,391,182,756/30,709
  6. Step 6: Final answer
    x = 142,993.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.