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Finding the Third Proportional to 39,949,920 and 86,193,216

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Solution

The third proportional to 39,949,920 and 86,193,216 is: 185,964,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,949,920 : 86,193,216 = 86,193,216 : x
  2. Step 2: Convert to fraction form
    39,949,920/86,193,216 = 86,193,216/x
  3. Step 3: Cross multiply
    39,949,920x = 86,193,216 × 86,193,216
  4. Step 4: Simplify right side
    39,949,920x = 7,429,270,484,422,656
  5. Step 5: Solve for x
    x = 7,429,270,484,422,656/39,949,920
  6. Step 6: Final answer
    x = 185,964,589.78

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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.