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Finding the Third Proportional to 3,940,657 and 8,489,216

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Solution

The third proportional to 3,940,657 and 8,489,216 is: 18,288,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,657 : 8,489,216 = 8,489,216 : x
  2. Step 2: Convert to fraction form
    3,940,657/8,489,216 = 8,489,216/x
  3. Step 3: Cross multiply
    3,940,657x = 8,489,216 × 8,489,216
  4. Step 4: Simplify right side
    3,940,657x = 72,066,788,294,656
  5. Step 5: Solve for x
    x = 72,066,788,294,656/3,940,657
  6. Step 6: Final answer
    x = 18,288,013.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.