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Finding the Third Proportional to 143,857 and 316,266

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Solution

The third proportional to 143,857 and 316,266 is: 695,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,857 : 316,266 = 316,266 : x
  2. Step 2: Convert to fraction form
    143,857/316,266 = 316,266/x
  3. Step 3: Cross multiply
    143,857x = 316,266 × 316,266
  4. Step 4: Simplify right side
    143,857x = 100,024,182,756
  5. Step 5: Solve for x
    x = 100,024,182,756/143,857
  6. Step 6: Final answer
    x = 695,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.