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Finding the Third Proportional to 68,159 and 144,517

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Solution

The third proportional to 68,159 and 144,517 is: 306,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,159 : 144,517 = 144,517 : x
  2. Step 2: Convert to fraction form
    68,159/144,517 = 144,517/x
  3. Step 3: Cross multiply
    68,159x = 144,517 × 144,517
  4. Step 4: Simplify right side
    68,159x = 20,885,163,289
  5. Step 5: Solve for x
    x = 20,885,163,289/68,159
  6. Step 6: Final answer
    x = 306,418.28

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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.