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Finding the Third Proportional to 10,221.19 and 18,916.03

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Solution

The third proportional to 10,221.19 and 18,916.03 is: 35,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 18,916.03 = 18,916.03 : x
  2. Step 2: Convert to fraction form
    10,221.19/18,916.03 = 18,916.03/x
  3. Step 3: Cross multiply
    10,221.19x = 18,916.03 × 18,916.03
  4. Step 4: Simplify right side
    10,221.19x = 357,816,238.25
  5. Step 5: Solve for x
    x = 357,816,238.25/10,221.19
  6. Step 6: Final answer
    x = 35,007.31

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.