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Finding the Third Proportional to 132,936 and 221,556

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Solution

The third proportional to 132,936 and 221,556 is: 369,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,936 : 221,556 = 221,556 : x
  2. Step 2: Convert to fraction form
    132,936/221,556 = 221,556/x
  3. Step 3: Cross multiply
    132,936x = 221,556 × 221,556
  4. Step 4: Simplify right side
    132,936x = 49,087,061,136
  5. Step 5: Solve for x
    x = 49,087,061,136/132,936
  6. Step 6: Final answer
    x = 369,253.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.