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Finding the Third Proportional to 68,031 and 144,144

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Solution

The third proportional to 68,031 and 144,144 is: 305,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031 : 144,144 = 144,144 : x
  2. Step 2: Convert to fraction form
    68,031/144,144 = 144,144/x
  3. Step 3: Cross multiply
    68,031x = 144,144 × 144,144
  4. Step 4: Simplify right side
    68,031x = 20,777,492,736
  5. Step 5: Solve for x
    x = 20,777,492,736/68,031
  6. Step 6: Final answer
    x = 305,412.13

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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.