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Finding the Third Proportional to 66,209 and 135,334

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Solution

The third proportional to 66,209 and 135,334 is: 276,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,209 : 135,334 = 135,334 : x
  2. Step 2: Convert to fraction form
    66,209/135,334 = 135,334/x
  3. Step 3: Cross multiply
    66,209x = 135,334 × 135,334
  4. Step 4: Simplify right side
    66,209x = 18,315,291,556
  5. Step 5: Solve for x
    x = 18,315,291,556/66,209
  6. Step 6: Final answer
    x = 276,628.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.