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Finding the Third Proportional to 68,060 and 144,219

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Solution

The third proportional to 68,060 and 144,219 is: 305,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,060 : 144,219 = 144,219 : x
  2. Step 2: Convert to fraction form
    68,060/144,219 = 144,219/x
  3. Step 3: Cross multiply
    68,060x = 144,219 × 144,219
  4. Step 4: Simplify right side
    68,060x = 20,799,119,961
  5. Step 5: Solve for x
    x = 20,799,119,961/68,060
  6. Step 6: Final answer
    x = 305,599.76

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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.