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Finding the Third Proportional to 133,981 and 213,272

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Solution

The third proportional to 133,981 and 213,272 is: 339,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,981 : 213,272 = 213,272 : x
  2. Step 2: Convert to fraction form
    133,981/213,272 = 213,272/x
  3. Step 3: Cross multiply
    133,981x = 213,272 × 213,272
  4. Step 4: Simplify right side
    133,981x = 45,484,945,984
  5. Step 5: Solve for x
    x = 45,484,945,984/133,981
  6. Step 6: Final answer
    x = 339,488.03

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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.