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Finding the Third Proportional to 71,871 and 156,174

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Solution

The third proportional to 71,871 and 156,174 is: 339,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871 : 156,174 = 156,174 : x
  2. Step 2: Convert to fraction form
    71,871/156,174 = 156,174/x
  3. Step 3: Cross multiply
    71,871x = 156,174 × 156,174
  4. Step 4: Simplify right side
    71,871x = 24,390,318,276
  5. Step 5: Solve for x
    x = 24,390,318,276/71,871
  6. Step 6: Final answer
    x = 339,362.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.