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Finding the Third Proportional to 121,398.75 and 258,106.50

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Solution

The third proportional to 121,398.75 and 258,106.50 is: 548,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,398.75 : 258,106.50 = 258,106.50 : x
  2. Step 2: Convert to fraction form
    121,398.75/258,106.50 = 258,106.50/x
  3. Step 3: Cross multiply
    121,398.75x = 258,106.50 × 258,106.50
  4. Step 4: Simplify right side
    121,398.75x = 66,618,965,342.25
  5. Step 5: Solve for x
    x = 66,618,965,342.25/121,398.75
  6. Step 6: Final answer
    x = 548,761.54

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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.