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Finding the Third Proportional to 132,285.38 and 290,908.13

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Solution

The third proportional to 132,285.38 and 290,908.13 is: 639,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285.38 : 290,908.13 = 290,908.13 : x
  2. Step 2: Convert to fraction form
    132,285.38/290,908.13 = 290,908.13/x
  3. Step 3: Cross multiply
    132,285.38x = 290,908.13 × 290,908.13
  4. Step 4: Simplify right side
    132,285.38x = 84,627,537,191.02
  5. Step 5: Solve for x
    x = 84,627,537,191.02/132,285.38
  6. Step 6: Final answer
    x = 639,734.64

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Why These Related Problems?

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