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Finding the Third Proportional to 144,674 and 221,180

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Solution

The third proportional to 144,674 and 221,180 is: 338,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,674 : 221,180 = 221,180 : x
  2. Step 2: Convert to fraction form
    144,674/221,180 = 221,180/x
  3. Step 3: Cross multiply
    144,674x = 221,180 × 221,180
  4. Step 4: Simplify right side
    144,674x = 48,920,592,400
  5. Step 5: Solve for x
    x = 48,920,592,400/144,674
  6. Step 6: Final answer
    x = 338,143.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.