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Finding the Third Proportional to 143,871 and 316,293

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Solution

The third proportional to 143,871 and 316,293 is: 695,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,871 : 316,293 = 316,293 : x
  2. Step 2: Convert to fraction form
    143,871/316,293 = 316,293/x
  3. Step 3: Cross multiply
    143,871x = 316,293 × 316,293
  4. Step 4: Simplify right side
    143,871x = 100,041,261,849
  5. Step 5: Solve for x
    x = 100,041,261,849/143,871
  6. Step 6: Final answer
    x = 695,353.91

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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.