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Finding the Third Proportional to 8,240,745 and 12,122,923

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Solution

The third proportional to 8,240,745 and 12,122,923 is: 17,833,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240,745 : 12,122,923 = 12,122,923 : x
  2. Step 2: Convert to fraction form
    8,240,745/12,122,923 = 12,122,923/x
  3. Step 3: Cross multiply
    8,240,745x = 12,122,923 × 12,122,923
  4. Step 4: Simplify right side
    8,240,745x = 146,965,262,063,929
  5. Step 5: Solve for x
    x = 146,965,262,063,929/8,240,745
  6. Step 6: Final answer
    x = 17,833,977.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.