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Finding the Third Proportional to 4,614.19 and 10,151.44

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Solution

The third proportional to 4,614.19 and 10,151.44 is: 22,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.19 : 10,151.44 = 10,151.44 : x
  2. Step 2: Convert to fraction form
    4,614.19/10,151.44 = 10,151.44/x
  3. Step 3: Cross multiply
    4,614.19x = 10,151.44 × 10,151.44
  4. Step 4: Simplify right side
    4,614.19x = 103,051,683.32
  5. Step 5: Solve for x
    x = 103,051,683.32/4,614.19
  6. Step 6: Final answer
    x = 22,333.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.