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Finding the Third Proportional to 68,695.31 and 144,770.06

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Solution

The third proportional to 68,695.31 and 144,770.06 is: 305,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,695.31 : 144,770.06 = 144,770.06 : x
  2. Step 2: Convert to fraction form
    68,695.31/144,770.06 = 144,770.06/x
  3. Step 3: Cross multiply
    68,695.31x = 144,770.06 × 144,770.06
  4. Step 4: Simplify right side
    68,695.31x = 20,958,370,996.25
  5. Step 5: Solve for x
    x = 20,958,370,996.25/68,695.31
  6. Step 6: Final answer
    x = 305,091.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.