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Finding the Third Proportional to 86,022 and 202,392

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Solution

The third proportional to 86,022 and 202,392 is: 476,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,022 : 202,392 = 202,392 : x
  2. Step 2: Convert to fraction form
    86,022/202,392 = 202,392/x
  3. Step 3: Cross multiply
    86,022x = 202,392 × 202,392
  4. Step 4: Simplify right side
    86,022x = 40,962,521,664
  5. Step 5: Solve for x
    x = 40,962,521,664/86,022
  6. Step 6: Final answer
    x = 476,186.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.