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Finding the Third Proportional to 8,378,256 and 12,893,976

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Solution

The third proportional to 8,378,256 and 12,893,976 is: 19,843,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,256 : 12,893,976 = 12,893,976 : x
  2. Step 2: Convert to fraction form
    8,378,256/12,893,976 = 12,893,976/x
  3. Step 3: Cross multiply
    8,378,256x = 12,893,976 × 12,893,976
  4. Step 4: Simplify right side
    8,378,256x = 166,254,617,088,576
  5. Step 5: Solve for x
    x = 166,254,617,088,576/8,378,256
  6. Step 6: Final answer
    x = 19,843,582.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.