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Finding the Third Proportional to 156,972 and 322,213

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Solution

The third proportional to 156,972 and 322,213 is: 661,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 322,213 = 322,213 : x
  2. Step 2: Convert to fraction form
    156,972/322,213 = 322,213/x
  3. Step 3: Cross multiply
    156,972x = 322,213 × 322,213
  4. Step 4: Simplify right side
    156,972x = 103,821,217,369
  5. Step 5: Solve for x
    x = 103,821,217,369/156,972
  6. Step 6: Final answer
    x = 661,399.60

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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.