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Finding the Third Proportional to 275,065.88 and 420,772.22

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Solution

The third proportional to 275,065.88 and 420,772.22 is: 643,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,065.88 : 420,772.22 = 420,772.22 : x
  2. Step 2: Convert to fraction form
    275,065.88/420,772.22 = 420,772.22/x
  3. Step 3: Cross multiply
    275,065.88x = 420,772.22 × 420,772.22
  4. Step 4: Simplify right side
    275,065.88x = 177,049,260,071.80
  5. Step 5: Solve for x
    x = 177,049,260,071.80/275,065.88
  6. Step 6: Final answer
    x = 643,661.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.