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Finding the Third Proportional to 71,871 and 167,865

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Solution

The third proportional to 71,871 and 167,865 is: 392,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871 : 167,865 = 167,865 : x
  2. Step 2: Convert to fraction form
    71,871/167,865 = 167,865/x
  3. Step 3: Cross multiply
    71,871x = 167,865 × 167,865
  4. Step 4: Simplify right side
    71,871x = 28,178,658,225
  5. Step 5: Solve for x
    x = 28,178,658,225/71,871
  6. Step 6: Final answer
    x = 392,072.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.