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Finding the Third Proportional to 3,218,870 and 6,991,324

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Solution

The third proportional to 3,218,870 and 6,991,324 is: 15,185,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,870 : 6,991,324 = 6,991,324 : x
  2. Step 2: Convert to fraction form
    3,218,870/6,991,324 = 6,991,324/x
  3. Step 3: Cross multiply
    3,218,870x = 6,991,324 × 6,991,324
  4. Step 4: Simplify right side
    3,218,870x = 48,878,611,272,976
  5. Step 5: Solve for x
    x = 48,878,611,272,976/3,218,870
  6. Step 6: Final answer
    x = 15,185,021.85

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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.