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Finding the Third Proportional to 81,369 and 123,201

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Solution

The third proportional to 81,369 and 123,201 is: 186,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,369 : 123,201 = 123,201 : x
  2. Step 2: Convert to fraction form
    81,369/123,201 = 123,201/x
  3. Step 3: Cross multiply
    81,369x = 123,201 × 123,201
  4. Step 4: Simplify right side
    81,369x = 15,178,486,401
  5. Step 5: Solve for x
    x = 15,178,486,401/81,369
  6. Step 6: Final answer
    x = 186,538.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.