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Finding the Third Proportional to 3,209,378 and 4,985,458

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Solution

The third proportional to 3,209,378 and 4,985,458 is: 7,744,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,378 : 4,985,458 = 4,985,458 : x
  2. Step 2: Convert to fraction form
    3,209,378/4,985,458 = 4,985,458/x
  3. Step 3: Cross multiply
    3,209,378x = 4,985,458 × 4,985,458
  4. Step 4: Simplify right side
    3,209,378x = 24,854,791,469,764
  5. Step 5: Solve for x
    x = 24,854,791,469,764/3,209,378
  6. Step 6: Final answer
    x = 7,744,426.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.