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Finding the Third Proportional to 156,944 and 322,157

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Solution

The third proportional to 156,944 and 322,157 is: 661,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 322,157 = 322,157 : x
  2. Step 2: Convert to fraction form
    156,944/322,157 = 322,157/x
  3. Step 3: Cross multiply
    156,944x = 322,157 × 322,157
  4. Step 4: Simplify right side
    156,944x = 103,785,132,649
  5. Step 5: Solve for x
    x = 103,785,132,649/156,944
  6. Step 6: Final answer
    x = 661,287.67

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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.