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Finding the Third Proportional to 65,639 and 143,311

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Solution

The third proportional to 65,639 and 143,311 is: 312,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,639 : 143,311 = 143,311 : x
  2. Step 2: Convert to fraction form
    65,639/143,311 = 143,311/x
  3. Step 3: Cross multiply
    65,639x = 143,311 × 143,311
  4. Step 4: Simplify right side
    65,639x = 20,538,042,721
  5. Step 5: Solve for x
    x = 20,538,042,721/65,639
  6. Step 6: Final answer
    x = 312,893.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.