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Finding the Third Proportional to 68,214 and 144,540

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Solution

The third proportional to 68,214 and 144,540 is: 306,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,214 : 144,540 = 144,540 : x
  2. Step 2: Convert to fraction form
    68,214/144,540 = 144,540/x
  3. Step 3: Cross multiply
    68,214x = 144,540 × 144,540
  4. Step 4: Simplify right side
    68,214x = 20,891,811,600
  5. Step 5: Solve for x
    x = 20,891,811,600/68,214
  6. Step 6: Final answer
    x = 306,268.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.