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Finding the Third Proportional to 1,100,578.50 and 2,384,362.13

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Solution

The third proportional to 1,100,578.50 and 2,384,362.13 is: 5,165,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,578.50 : 2,384,362.13 = 2,384,362.13 : x
  2. Step 2: Convert to fraction form
    1,100,578.50/2,384,362.13 = 2,384,362.13/x
  3. Step 3: Cross multiply
    1,100,578.50x = 2,384,362.13 × 2,384,362.13
  4. Step 4: Simplify right side
    1,100,578.50x = 5,685,182,743,134.52
  5. Step 5: Solve for x
    x = 5,685,182,743,134.52/1,100,578.50
  6. Step 6: Final answer
    x = 5,165,631.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.