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Finding the Third Proportional to 66,206 and 143,414

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Solution

The third proportional to 66,206 and 143,414 is: 310,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206 : 143,414 = 143,414 : x
  2. Step 2: Convert to fraction form
    66,206/143,414 = 143,414/x
  3. Step 3: Cross multiply
    66,206x = 143,414 × 143,414
  4. Step 4: Simplify right side
    66,206x = 20,567,575,396
  5. Step 5: Solve for x
    x = 20,567,575,396/66,206
  6. Step 6: Final answer
    x = 310,660.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.