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Finding the Third Proportional to 142,704 and 221,268

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Solution

The third proportional to 142,704 and 221,268 is: 343,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704 : 221,268 = 221,268 : x
  2. Step 2: Convert to fraction form
    142,704/221,268 = 221,268/x
  3. Step 3: Cross multiply
    142,704x = 221,268 × 221,268
  4. Step 4: Simplify right side
    142,704x = 48,959,527,824
  5. Step 5: Solve for x
    x = 48,959,527,824/142,704
  6. Step 6: Final answer
    x = 343,084.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.