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Finding the Third Proportional to 30,816 and 66,381

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Solution

The third proportional to 30,816 and 66,381 is: 142,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 66,381 = 66,381 : x
  2. Step 2: Convert to fraction form
    30,816/66,381 = 66,381/x
  3. Step 3: Cross multiply
    30,816x = 66,381 × 66,381
  4. Step 4: Simplify right side
    30,816x = 4,406,437,161
  5. Step 5: Solve for x
    x = 4,406,437,161/30,816
  6. Step 6: Final answer
    x = 142,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.