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Finding the Third Proportional to 1,645,249.88 and 3,668,580.75

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Solution

The third proportional to 1,645,249.88 and 3,668,580.75 is: 8,180,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,249.88 : 3,668,580.75 = 3,668,580.75 : x
  2. Step 2: Convert to fraction form
    1,645,249.88/3,668,580.75 = 3,668,580.75/x
  3. Step 3: Cross multiply
    1,645,249.88x = 3,668,580.75 × 3,668,580.75
  4. Step 4: Simplify right side
    1,645,249.88x = 13,458,484,719,270.56
  5. Step 5: Solve for x
    x = 13,458,484,719,270.56/1,645,249.88
  6. Step 6: Final answer
    x = 8,180,207.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.