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Finding the Third Proportional to 21,224.25 and 28,722.19

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Solution

The third proportional to 21,224.25 and 28,722.19 is: 38,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.25 : 28,722.19 = 28,722.19 : x
  2. Step 2: Convert to fraction form
    21,224.25/28,722.19 = 28,722.19/x
  3. Step 3: Cross multiply
    21,224.25x = 28,722.19 × 28,722.19
  4. Step 4: Simplify right side
    21,224.25x = 824,964,054.79
  5. Step 5: Solve for x
    x = 824,964,054.79/21,224.25
  6. Step 6: Final answer
    x = 38,868.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.