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Finding the Third Proportional to 3,969,662 and 8,611,464

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Solution

The third proportional to 3,969,662 and 8,611,464 is: 18,681,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969,662 : 8,611,464 = 8,611,464 : x
  2. Step 2: Convert to fraction form
    3,969,662/8,611,464 = 8,611,464/x
  3. Step 3: Cross multiply
    3,969,662x = 8,611,464 × 8,611,464
  4. Step 4: Simplify right side
    3,969,662x = 74,157,312,223,296
  5. Step 5: Solve for x
    x = 74,157,312,223,296/3,969,662
  6. Step 6: Final answer
    x = 18,681,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.