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Finding the Third Proportional to 121,568 and 264,414

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Solution

The third proportional to 121,568 and 264,414 is: 575,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,568 : 264,414 = 264,414 : x
  2. Step 2: Convert to fraction form
    121,568/264,414 = 264,414/x
  3. Step 3: Cross multiply
    121,568x = 264,414 × 264,414
  4. Step 4: Simplify right side
    121,568x = 69,914,763,396
  5. Step 5: Solve for x
    x = 69,914,763,396/121,568
  6. Step 6: Final answer
    x = 575,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.