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Finding the Third Proportional to 121,302 and 263,324

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Solution

The third proportional to 121,302 and 263,324 is: 571,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,302 : 263,324 = 263,324 : x
  2. Step 2: Convert to fraction form
    121,302/263,324 = 263,324/x
  3. Step 3: Cross multiply
    121,302x = 263,324 × 263,324
  4. Step 4: Simplify right side
    121,302x = 69,339,528,976
  5. Step 5: Solve for x
    x = 69,339,528,976/121,302
  6. Step 6: Final answer
    x = 571,627.25

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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.