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Finding the Third Proportional to 8,217,080 and 18,322,432

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Solution

The third proportional to 8,217,080 and 18,322,432 is: 40,855,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,080 : 18,322,432 = 18,322,432 : x
  2. Step 2: Convert to fraction form
    8,217,080/18,322,432 = 18,322,432/x
  3. Step 3: Cross multiply
    8,217,080x = 18,322,432 × 18,322,432
  4. Step 4: Simplify right side
    8,217,080x = 335,711,514,394,624
  5. Step 5: Solve for x
    x = 335,711,514,394,624/8,217,080
  6. Step 6: Final answer
    x = 40,855,329.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.