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Finding the Third Proportional to 10,044 and 21,818.11

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Solution

The third proportional to 10,044 and 21,818.11 is: 47,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 21,818.11 = 21,818.11 : x
  2. Step 2: Convert to fraction form
    10,044/21,818.11 = 21,818.11/x
  3. Step 3: Cross multiply
    10,044x = 21,818.11 × 21,818.11
  4. Step 4: Simplify right side
    10,044x = 476,029,896.70
  5. Step 5: Solve for x
    x = 476,029,896.70/10,044
  6. Step 6: Final answer
    x = 47,394.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.