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Finding the Third Proportional to 132,288 and 290,914.50

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Solution

The third proportional to 132,288 and 290,914.50 is: 639,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,288 : 290,914.50 = 290,914.50 : x
  2. Step 2: Convert to fraction form
    132,288/290,914.50 = 290,914.50/x
  3. Step 3: Cross multiply
    132,288x = 290,914.50 × 290,914.50
  4. Step 4: Simplify right side
    132,288x = 84,631,246,310.25
  5. Step 5: Solve for x
    x = 84,631,246,310.25/132,288
  6. Step 6: Final answer
    x = 639,749.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.