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Finding the Third Proportional to 68,668 and 144,716

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Solution

The third proportional to 68,668 and 144,716 is: 304,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,668 : 144,716 = 144,716 : x
  2. Step 2: Convert to fraction form
    68,668/144,716 = 144,716/x
  3. Step 3: Cross multiply
    68,668x = 144,716 × 144,716
  4. Step 4: Simplify right side
    68,668x = 20,942,720,656
  5. Step 5: Solve for x
    x = 20,942,720,656/68,668
  6. Step 6: Final answer
    x = 304,985.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.