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Finding the Third Proportional to 66,438 and 143,311

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Solution

The third proportional to 66,438 and 143,311 is: 309,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438 : 143,311 = 143,311 : x
  2. Step 2: Convert to fraction form
    66,438/143,311 = 143,311/x
  3. Step 3: Cross multiply
    66,438x = 143,311 × 143,311
  4. Step 4: Simplify right side
    66,438x = 20,538,042,721
  5. Step 5: Solve for x
    x = 20,538,042,721/66,438
  6. Step 6: Final answer
    x = 309,130.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.