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Finding the Third Proportional to 615,575.25 and 920,891.25

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Solution

The third proportional to 615,575.25 and 920,891.25 is: 1,377,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,575.25 : 920,891.25 = 920,891.25 : x
  2. Step 2: Convert to fraction form
    615,575.25/920,891.25 = 920,891.25/x
  3. Step 3: Cross multiply
    615,575.25x = 920,891.25 × 920,891.25
  4. Step 4: Simplify right side
    615,575.25x = 848,040,694,326.56
  5. Step 5: Solve for x
    x = 848,040,694,326.56/615,575.25
  6. Step 6: Final answer
    x = 1,377,639.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.