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Finding the Third Proportional to 8,217,076 and 18,322,424

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Solution

The third proportional to 8,217,076 and 18,322,424 is: 40,855,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,076 : 18,322,424 = 18,322,424 : x
  2. Step 2: Convert to fraction form
    8,217,076/18,322,424 = 18,322,424/x
  3. Step 3: Cross multiply
    8,217,076x = 18,322,424 × 18,322,424
  4. Step 4: Simplify right side
    8,217,076x = 335,711,221,235,776
  5. Step 5: Solve for x
    x = 335,711,221,235,776/8,217,076
  6. Step 6: Final answer
    x = 40,855,314.13

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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.