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Finding the Third Proportional to 133,974 and 213,261

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Solution

The third proportional to 133,974 and 213,261 is: 339,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974 : 213,261 = 213,261 : x
  2. Step 2: Convert to fraction form
    133,974/213,261 = 213,261/x
  3. Step 3: Cross multiply
    133,974x = 213,261 × 213,261
  4. Step 4: Simplify right side
    133,974x = 45,480,254,121
  5. Step 5: Solve for x
    x = 45,480,254,121/133,974
  6. Step 6: Final answer
    x = 339,470.75

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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.