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Finding the Third Proportional to 3,922,963 and 8,465,209

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Solution

The third proportional to 3,922,963 and 8,465,209 is: 18,266,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922,963 : 8,465,209 = 8,465,209 : x
  2. Step 2: Convert to fraction form
    3,922,963/8,465,209 = 8,465,209/x
  3. Step 3: Cross multiply
    3,922,963x = 8,465,209 × 8,465,209
  4. Step 4: Simplify right side
    3,922,963x = 71,659,763,413,681
  5. Step 5: Solve for x
    x = 71,659,763,413,681/3,922,963
  6. Step 6: Final answer
    x = 18,266,744.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.