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Finding the Third Proportional to 980,464.50 and 1,336,684.78

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Solution

The third proportional to 980,464.50 and 1,336,684.78 is: 1,822,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,464.50 : 1,336,684.78 = 1,336,684.78 : x
  2. Step 2: Convert to fraction form
    980,464.50/1,336,684.78 = 1,336,684.78/x
  3. Step 3: Cross multiply
    980,464.50x = 1,336,684.78 × 1,336,684.78
  4. Step 4: Simplify right side
    980,464.50x = 1,786,726,204,425.36
  5. Step 5: Solve for x
    x = 1,786,726,204,425.36/980,464.50
  6. Step 6: Final answer
    x = 1,822,326.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.