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Finding the Third Proportional to 121,115.25 and 258,795

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Solution

The third proportional to 121,115.25 and 258,795 is: 552,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,115.25 : 258,795 = 258,795 : x
  2. Step 2: Convert to fraction form
    121,115.25/258,795 = 258,795/x
  3. Step 3: Cross multiply
    121,115.25x = 258,795 × 258,795
  4. Step 4: Simplify right side
    121,115.25x = 66,974,852,025
  5. Step 5: Solve for x
    x = 66,974,852,025/121,115.25
  6. Step 6: Final answer
    x = 552,984.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.