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Finding the Third Proportional to 121,989 and 259,530

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Solution

The third proportional to 121,989 and 259,530 is: 552,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,989 : 259,530 = 259,530 : x
  2. Step 2: Convert to fraction form
    121,989/259,530 = 259,530/x
  3. Step 3: Cross multiply
    121,989x = 259,530 × 259,530
  4. Step 4: Simplify right side
    121,989x = 67,355,820,900
  5. Step 5: Solve for x
    x = 67,355,820,900/121,989
  6. Step 6: Final answer
    x = 552,146.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.