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Finding the Third Proportional to 2,155,742 and 4,694,209

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Solution

The third proportional to 2,155,742 and 4,694,209 is: 10,221,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,742 : 4,694,209 = 4,694,209 : x
  2. Step 2: Convert to fraction form
    2,155,742/4,694,209 = 4,694,209/x
  3. Step 3: Cross multiply
    2,155,742x = 4,694,209 × 4,694,209
  4. Step 4: Simplify right side
    2,155,742x = 22,035,598,135,681
  5. Step 5: Solve for x
    x = 22,035,598,135,681/2,155,742
  6. Step 6: Final answer
    x = 10,221,816.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.