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Finding the Third Proportional to 132,554 and 290,308

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Solution

The third proportional to 132,554 and 290,308 is: 635,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,554 : 290,308 = 290,308 : x
  2. Step 2: Convert to fraction form
    132,554/290,308 = 290,308/x
  3. Step 3: Cross multiply
    132,554x = 290,308 × 290,308
  4. Step 4: Simplify right side
    132,554x = 84,278,734,864
  5. Step 5: Solve for x
    x = 84,278,734,864/132,554
  6. Step 6: Final answer
    x = 635,806.80

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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.