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Finding the Third Proportional to 156,972 and 322,286

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Solution

The third proportional to 156,972 and 322,286 is: 661,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 322,286 = 322,286 : x
  2. Step 2: Convert to fraction form
    156,972/322,286 = 322,286/x
  3. Step 3: Cross multiply
    156,972x = 322,286 × 322,286
  4. Step 4: Simplify right side
    156,972x = 103,868,265,796
  5. Step 5: Solve for x
    x = 103,868,265,796/156,972
  6. Step 6: Final answer
    x = 661,699.32

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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.