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Finding the Third Proportional to 143,874 and 316,305

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Solution

The third proportional to 143,874 and 316,305 is: 695,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,874 : 316,305 = 316,305 : x
  2. Step 2: Convert to fraction form
    143,874/316,305 = 316,305/x
  3. Step 3: Cross multiply
    143,874x = 316,305 × 316,305
  4. Step 4: Simplify right side
    143,874x = 100,048,853,025
  5. Step 5: Solve for x
    x = 100,048,853,025/143,874
  6. Step 6: Final answer
    x = 695,392.17

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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.