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Finding the Third Proportional to 133,979 and 213,269

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Solution

The third proportional to 133,979 and 213,269 is: 339,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,979 : 213,269 = 213,269 : x
  2. Step 2: Convert to fraction form
    133,979/213,269 = 213,269/x
  3. Step 3: Cross multiply
    133,979x = 213,269 × 213,269
  4. Step 4: Simplify right side
    133,979x = 45,483,666,361
  5. Step 5: Solve for x
    x = 45,483,666,361/133,979
  6. Step 6: Final answer
    x = 339,483.55

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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.