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Finding the Third Proportional to 33,566 and 78,395

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Solution

The third proportional to 33,566 and 78,395 is: 183,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566 : 78,395 = 78,395 : x
  2. Step 2: Convert to fraction form
    33,566/78,395 = 78,395/x
  3. Step 3: Cross multiply
    33,566x = 78,395 × 78,395
  4. Step 4: Simplify right side
    33,566x = 6,145,776,025
  5. Step 5: Solve for x
    x = 6,145,776,025/33,566
  6. Step 6: Final answer
    x = 183,095.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.