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Finding the Third Proportional to 8,242,642 and 17,704,100

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Solution

The third proportional to 8,242,642 and 17,704,100 is: 38,026,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,642 : 17,704,100 = 17,704,100 : x
  2. Step 2: Convert to fraction form
    8,242,642/17,704,100 = 17,704,100/x
  3. Step 3: Cross multiply
    8,242,642x = 17,704,100 × 17,704,100
  4. Step 4: Simplify right side
    8,242,642x = 313,435,156,810,000
  5. Step 5: Solve for x
    x = 313,435,156,810,000/8,242,642
  6. Step 6: Final answer
    x = 38,026,054.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.