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Finding the Third Proportional to 8,100,640 and 17,818,176

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Solution

The third proportional to 8,100,640 and 17,818,176 is: 39,192,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100,640 : 17,818,176 = 17,818,176 : x
  2. Step 2: Convert to fraction form
    8,100,640/17,818,176 = 17,818,176/x
  3. Step 3: Cross multiply
    8,100,640x = 17,818,176 × 17,818,176
  4. Step 4: Simplify right side
    8,100,640x = 317,487,395,966,976
  5. Step 5: Solve for x
    x = 317,487,395,966,976/8,100,640
  6. Step 6: Final answer
    x = 39,192,878.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.