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Finding the Third Proportional to 121,108.50 and 189,020.25

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Solution

The third proportional to 121,108.50 and 189,020.25 is: 295,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,108.50 : 189,020.25 = 189,020.25 : x
  2. Step 2: Convert to fraction form
    121,108.50/189,020.25 = 189,020.25/x
  3. Step 3: Cross multiply
    121,108.50x = 189,020.25 × 189,020.25
  4. Step 4: Simplify right side
    121,108.50x = 35,728,654,910.06
  5. Step 5: Solve for x
    x = 35,728,654,910.06/121,108.50
  6. Step 6: Final answer
    x = 295,013.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.