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Finding the Third Proportional to 30,676 and 62,642

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Solution

The third proportional to 30,676 and 62,642 is: 127,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676 : 62,642 = 62,642 : x
  2. Step 2: Convert to fraction form
    30,676/62,642 = 62,642/x
  3. Step 3: Cross multiply
    30,676x = 62,642 × 62,642
  4. Step 4: Simplify right side
    30,676x = 3,924,020,164
  5. Step 5: Solve for x
    x = 3,924,020,164/30,676
  6. Step 6: Final answer
    x = 127,918.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.