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Finding the Third Proportional to 8,423,030 and 18,122,782

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Solution

The third proportional to 8,423,030 and 18,122,782 is: 38,992,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,030 : 18,122,782 = 18,122,782 : x
  2. Step 2: Convert to fraction form
    8,423,030/18,122,782 = 18,122,782/x
  3. Step 3: Cross multiply
    8,423,030x = 18,122,782 × 18,122,782
  4. Step 4: Simplify right side
    8,423,030x = 328,435,227,419,524
  5. Step 5: Solve for x
    x = 328,435,227,419,524/8,423,030
  6. Step 6: Final answer
    x = 38,992,527.32

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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.