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Finding the Third Proportional to 147,146 and 221,169

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Solution

The third proportional to 147,146 and 221,169 is: 332,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,146 : 221,169 = 221,169 : x
  2. Step 2: Convert to fraction form
    147,146/221,169 = 221,169/x
  3. Step 3: Cross multiply
    147,146x = 221,169 × 221,169
  4. Step 4: Simplify right side
    147,146x = 48,915,726,561
  5. Step 5: Solve for x
    x = 48,915,726,561/147,146
  6. Step 6: Final answer
    x = 332,429.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.