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Finding the Third Proportional to 122,561.44 and 264,480.19

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Solution

The third proportional to 122,561.44 and 264,480.19 is: 570,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,561.44 : 264,480.19 = 264,480.19 : x
  2. Step 2: Convert to fraction form
    122,561.44/264,480.19 = 264,480.19/x
  3. Step 3: Cross multiply
    122,561.44x = 264,480.19 × 264,480.19
  4. Step 4: Simplify right side
    122,561.44x = 69,949,769,580.04
  5. Step 5: Solve for x
    x = 69,949,769,580.04/122,561.44
  6. Step 6: Final answer
    x = 570,732.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.