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Finding the Third Proportional to 3,784,016 and 8,272,246

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Solution

The third proportional to 3,784,016 and 8,272,246 is: 18,083,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,016 : 8,272,246 = 8,272,246 : x
  2. Step 2: Convert to fraction form
    3,784,016/8,272,246 = 8,272,246/x
  3. Step 3: Cross multiply
    3,784,016x = 8,272,246 × 8,272,246
  4. Step 4: Simplify right side
    3,784,016x = 68,430,053,884,516
  5. Step 5: Solve for x
    x = 68,430,053,884,516/3,784,016
  6. Step 6: Final answer
    x = 18,083,975.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.