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Finding the Third Proportional to 8,122,420 and 12,185,216

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Solution

The third proportional to 8,122,420 and 12,185,216 is: 18,280,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,420 : 12,185,216 = 12,185,216 : x
  2. Step 2: Convert to fraction form
    8,122,420/12,185,216 = 12,185,216/x
  3. Step 3: Cross multiply
    8,122,420x = 12,185,216 × 12,185,216
  4. Step 4: Simplify right side
    8,122,420x = 148,479,488,966,656
  5. Step 5: Solve for x
    x = 148,479,488,966,656/8,122,420
  6. Step 6: Final answer
    x = 18,280,203.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.