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Finding the Third Proportional to 156,927 and 322,122

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Solution

The third proportional to 156,927 and 322,122 is: 661,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,927 : 322,122 = 322,122 : x
  2. Step 2: Convert to fraction form
    156,927/322,122 = 322,122/x
  3. Step 3: Cross multiply
    156,927x = 322,122 × 322,122
  4. Step 4: Simplify right side
    156,927x = 103,762,582,884
  5. Step 5: Solve for x
    x = 103,762,582,884/156,927
  6. Step 6: Final answer
    x = 661,215.62

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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.