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Finding the Third Proportional to 91,223.72 and 138,464.44

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Solution

The third proportional to 91,223.72 and 138,464.44 is: 210,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,223.72 : 138,464.44 = 138,464.44 : x
  2. Step 2: Convert to fraction form
    91,223.72/138,464.44 = 138,464.44/x
  3. Step 3: Cross multiply
    91,223.72x = 138,464.44 × 138,464.44
  4. Step 4: Simplify right side
    91,223.72x = 19,172,400,452.19
  5. Step 5: Solve for x
    x = 19,172,400,452.19/91,223.72
  6. Step 6: Final answer
    x = 210,169.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.