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Finding the Third Proportional to 68,736 and 145,614

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Solution

The third proportional to 68,736 and 145,614 is: 308,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,736 : 145,614 = 145,614 : x
  2. Step 2: Convert to fraction form
    68,736/145,614 = 145,614/x
  3. Step 3: Cross multiply
    68,736x = 145,614 × 145,614
  4. Step 4: Simplify right side
    68,736x = 21,203,436,996
  5. Step 5: Solve for x
    x = 21,203,436,996/68,736
  6. Step 6: Final answer
    x = 308,476.45

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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.