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Finding the Third Proportional to 65,731 and 143,474

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Solution

The third proportional to 65,731 and 143,474 is: 313,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731 : 143,474 = 143,474 : x
  2. Step 2: Convert to fraction form
    65,731/143,474 = 143,474/x
  3. Step 3: Cross multiply
    65,731x = 143,474 × 143,474
  4. Step 4: Simplify right side
    65,731x = 20,584,788,676
  5. Step 5: Solve for x
    x = 20,584,788,676/65,731
  6. Step 6: Final answer
    x = 313,167.13

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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.