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Finding the Third Proportional to 2,300,724 and 3,498,886.13

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Solution

The third proportional to 2,300,724 and 3,498,886.13 is: 5,321,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300,724 : 3,498,886.13 = 3,498,886.13 : x
  2. Step 2: Convert to fraction form
    2,300,724/3,498,886.13 = 3,498,886.13/x
  3. Step 3: Cross multiply
    2,300,724x = 3,498,886.13 × 3,498,886.13
  4. Step 4: Simplify right side
    2,300,724x = 12,242,204,115,717.52
  5. Step 5: Solve for x
    x = 12,242,204,115,717.52/2,300,724
  6. Step 6: Final answer
    x = 5,321,022.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.