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Finding the Third Proportional to 9,276.19 and 22,421.39

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Solution

The third proportional to 9,276.19 and 22,421.39 is: 54,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.19 : 22,421.39 = 22,421.39 : x
  2. Step 2: Convert to fraction form
    9,276.19/22,421.39 = 22,421.39/x
  3. Step 3: Cross multiply
    9,276.19x = 22,421.39 × 22,421.39
  4. Step 4: Simplify right side
    9,276.19x = 502,718,757.56
  5. Step 5: Solve for x
    x = 502,718,757.56/9,276.19
  6. Step 6: Final answer
    x = 54,194.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.