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Finding the Third Proportional to 133,553 and 207,989

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Solution

The third proportional to 133,553 and 207,989 is: 323,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,553 : 207,989 = 207,989 : x
  2. Step 2: Convert to fraction form
    133,553/207,989 = 207,989/x
  3. Step 3: Cross multiply
    133,553x = 207,989 × 207,989
  4. Step 4: Simplify right side
    133,553x = 43,259,424,121
  5. Step 5: Solve for x
    x = 43,259,424,121/133,553
  6. Step 6: Final answer
    x = 323,912.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.