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Finding the Third Proportional to 130,021 and 206,874

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Solution

The third proportional to 130,021 and 206,874 is: 329,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,021 : 206,874 = 206,874 : x
  2. Step 2: Convert to fraction form
    130,021/206,874 = 206,874/x
  3. Step 3: Cross multiply
    130,021x = 206,874 × 206,874
  4. Step 4: Simplify right side
    130,021x = 42,796,851,876
  5. Step 5: Solve for x
    x = 42,796,851,876/130,021
  6. Step 6: Final answer
    x = 329,153.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.