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Finding the Third Proportional to 121,235 and 263,205.50

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Solution

The third proportional to 121,235 and 263,205.50 is: 571,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,235 : 263,205.50 = 263,205.50 : x
  2. Step 2: Convert to fraction form
    121,235/263,205.50 = 263,205.50/x
  3. Step 3: Cross multiply
    121,235x = 263,205.50 × 263,205.50
  4. Step 4: Simplify right side
    121,235x = 69,277,135,230.25
  5. Step 5: Solve for x
    x = 69,277,135,230.25/121,235
  6. Step 6: Final answer
    x = 571,428.51

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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.