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Finding the Third Proportional to 8,203,621 and 17,883,387

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Solution

The third proportional to 8,203,621 and 17,883,387 is: 38,984,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,621 : 17,883,387 = 17,883,387 : x
  2. Step 2: Convert to fraction form
    8,203,621/17,883,387 = 17,883,387/x
  3. Step 3: Cross multiply
    8,203,621x = 17,883,387 × 17,883,387
  4. Step 4: Simplify right side
    8,203,621x = 319,815,530,591,769
  5. Step 5: Solve for x
    x = 319,815,530,591,769/8,203,621
  6. Step 6: Final answer
    x = 38,984,678.91

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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.