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Finding the Third Proportional to 15,682.78 and 22,356.42

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Solution

The third proportional to 15,682.78 and 22,356.42 is: 31,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.78 : 22,356.42 = 22,356.42 : x
  2. Step 2: Convert to fraction form
    15,682.78/22,356.42 = 22,356.42/x
  3. Step 3: Cross multiply
    15,682.78x = 22,356.42 × 22,356.42
  4. Step 4: Simplify right side
    15,682.78x = 499,809,599.05
  5. Step 5: Solve for x
    x = 499,809,599.05/15,682.78
  6. Step 6: Final answer
    x = 31,869.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.