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Finding the Third Proportional to 3,347,009 and 7,288,209

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Solution

The third proportional to 3,347,009 and 7,288,209 is: 15,870,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347,009 : 7,288,209 = 7,288,209 : x
  2. Step 2: Convert to fraction form
    3,347,009/7,288,209 = 7,288,209/x
  3. Step 3: Cross multiply
    3,347,009x = 7,288,209 × 7,288,209
  4. Step 4: Simplify right side
    3,347,009x = 53,117,990,427,681
  5. Step 5: Solve for x
    x = 53,117,990,427,681/3,347,009
  6. Step 6: Final answer
    x = 15,870,286.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.