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Finding the Third Proportional to 85,221 and 133,394

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Solution

The third proportional to 85,221 and 133,394 is: 208,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,221 : 133,394 = 133,394 : x
  2. Step 2: Convert to fraction form
    85,221/133,394 = 133,394/x
  3. Step 3: Cross multiply
    85,221x = 133,394 × 133,394
  4. Step 4: Simplify right side
    85,221x = 17,793,959,236
  5. Step 5: Solve for x
    x = 17,793,959,236/85,221
  6. Step 6: Final answer
    x = 208,797.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.