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Finding the Third Proportional to 68,212 and 144,536

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Solution

The third proportional to 68,212 and 144,536 is: 306,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,212 : 144,536 = 144,536 : x
  2. Step 2: Convert to fraction form
    68,212/144,536 = 144,536/x
  3. Step 3: Cross multiply
    68,212x = 144,536 × 144,536
  4. Step 4: Simplify right side
    68,212x = 20,890,655,296
  5. Step 5: Solve for x
    x = 20,890,655,296/68,212
  6. Step 6: Final answer
    x = 306,260.71

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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.