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Finding the Third Proportional to 144,680 and 221,190

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Solution

The third proportional to 144,680 and 221,190 is: 338,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,680 : 221,190 = 221,190 : x
  2. Step 2: Convert to fraction form
    144,680/221,190 = 221,190/x
  3. Step 3: Cross multiply
    144,680x = 221,190 × 221,190
  4. Step 4: Simplify right side
    144,680x = 48,925,016,100
  5. Step 5: Solve for x
    x = 48,925,016,100/144,680
  6. Step 6: Final answer
    x = 338,160.19

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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.