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Finding the Third Proportional to 68,087.25 and 144,284.63

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Solution

The third proportional to 68,087.25 and 144,284.63 is: 305,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,087.25 : 144,284.63 = 144,284.63 : x
  2. Step 2: Convert to fraction form
    68,087.25/144,284.63 = 144,284.63/x
  3. Step 3: Cross multiply
    68,087.25x = 144,284.63 × 144,284.63
  4. Step 4: Simplify right side
    68,087.25x = 20,818,053,011.39
  5. Step 5: Solve for x
    x = 20,818,053,011.39/68,087.25
  6. Step 6: Final answer
    x = 305,755.53

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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.