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Finding the Third Proportional to 121,998.66 and 264,361.22

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Solution

The third proportional to 121,998.66 and 264,361.22 is: 572,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,998.66 : 264,361.22 = 264,361.22 : x
  2. Step 2: Convert to fraction form
    121,998.66/264,361.22 = 264,361.22/x
  3. Step 3: Cross multiply
    121,998.66x = 264,361.22 × 264,361.22
  4. Step 4: Simplify right side
    121,998.66x = 69,886,853,978.99
  5. Step 5: Solve for x
    x = 69,886,853,978.99/121,998.66
  6. Step 6: Final answer
    x = 572,849.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.