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Finding the Third Proportional to 978,671 and 2,149,797

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Solution

The third proportional to 978,671 and 2,149,797 is: 4,722,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,671 : 2,149,797 = 2,149,797 : x
  2. Step 2: Convert to fraction form
    978,671/2,149,797 = 2,149,797/x
  3. Step 3: Cross multiply
    978,671x = 2,149,797 × 2,149,797
  4. Step 4: Simplify right side
    978,671x = 4,621,627,141,209
  5. Step 5: Solve for x
    x = 4,621,627,141,209/978,671
  6. Step 6: Final answer
    x = 4,722,350.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.