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Finding the Third Proportional to 2,949,921 and 6,418,980

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Solution

The third proportional to 2,949,921 and 6,418,980 is: 13,967,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,921 : 6,418,980 = 6,418,980 : x
  2. Step 2: Convert to fraction form
    2,949,921/6,418,980 = 6,418,980/x
  3. Step 3: Cross multiply
    2,949,921x = 6,418,980 × 6,418,980
  4. Step 4: Simplify right side
    2,949,921x = 41,203,304,240,400
  5. Step 5: Solve for x
    x = 41,203,304,240,400/2,949,921
  6. Step 6: Final answer
    x = 13,967,595.82

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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.