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Finding the Third Proportional to 156,916 and 322,174

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Solution

The third proportional to 156,916 and 322,174 is: 661,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916 : 322,174 = 322,174 : x
  2. Step 2: Convert to fraction form
    156,916/322,174 = 322,174/x
  3. Step 3: Cross multiply
    156,916x = 322,174 × 322,174
  4. Step 4: Simplify right side
    156,916x = 103,796,086,276
  5. Step 5: Solve for x
    x = 103,796,086,276/156,916
  6. Step 6: Final answer
    x = 661,475.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.