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Finding the Third Proportional to 30,180 and 66,304

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Solution

The third proportional to 30,180 and 66,304 is: 145,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180 : 66,304 = 66,304 : x
  2. Step 2: Convert to fraction form
    30,180/66,304 = 66,304/x
  3. Step 3: Cross multiply
    30,180x = 66,304 × 66,304
  4. Step 4: Simplify right side
    30,180x = 4,396,220,416
  5. Step 5: Solve for x
    x = 4,396,220,416/30,180
  6. Step 6: Final answer
    x = 145,666.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.