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Finding the Third Proportional to 100,646 and 207,772

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Solution

The third proportional to 100,646 and 207,772 is: 428,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646 : 207,772 = 207,772 : x
  2. Step 2: Convert to fraction form
    100,646/207,772 = 207,772/x
  3. Step 3: Cross multiply
    100,646x = 207,772 × 207,772
  4. Step 4: Simplify right side
    100,646x = 43,169,203,984
  5. Step 5: Solve for x
    x = 43,169,203,984/100,646
  6. Step 6: Final answer
    x = 428,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.