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Finding the Third Proportional to 10,174.69 and 21,129.19

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Solution

The third proportional to 10,174.69 and 21,129.19 is: 43,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.69 : 21,129.19 = 21,129.19 : x
  2. Step 2: Convert to fraction form
    10,174.69/21,129.19 = 21,129.19/x
  3. Step 3: Cross multiply
    10,174.69x = 21,129.19 × 21,129.19
  4. Step 4: Simplify right side
    10,174.69x = 446,442,564.41
  5. Step 5: Solve for x
    x = 446,442,564.41/10,174.69
  6. Step 6: Final answer
    x = 43,877.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.