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Finding the Third Proportional to 132,869 and 290,545

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Solution

The third proportional to 132,869 and 290,545 is: 635,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,869 : 290,545 = 290,545 : x
  2. Step 2: Convert to fraction form
    132,869/290,545 = 290,545/x
  3. Step 3: Cross multiply
    132,869x = 290,545 × 290,545
  4. Step 4: Simplify right side
    132,869x = 84,416,397,025
  5. Step 5: Solve for x
    x = 84,416,397,025/132,869
  6. Step 6: Final answer
    x = 635,335.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.