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Finding the Third Proportional to 10,818.56 and 23,621.63

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Solution

The third proportional to 10,818.56 and 23,621.63 is: 51,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.56 : 23,621.63 = 23,621.63 : x
  2. Step 2: Convert to fraction form
    10,818.56/23,621.63 = 23,621.63/x
  3. Step 3: Cross multiply
    10,818.56x = 23,621.63 × 23,621.63
  4. Step 4: Simplify right side
    10,818.56x = 557,981,167.64
  5. Step 5: Solve for x
    x = 557,981,167.64/10,818.56
  6. Step 6: Final answer
    x = 51,576.28

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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.