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Finding the Third Proportional to 121,104.50 and 189,014.50

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Solution

The third proportional to 121,104.50 and 189,014.50 is: 295,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,104.50 : 189,014.50 = 189,014.50 : x
  2. Step 2: Convert to fraction form
    121,104.50/189,014.50 = 189,014.50/x
  3. Step 3: Cross multiply
    121,104.50x = 189,014.50 × 189,014.50
  4. Step 4: Simplify right side
    121,104.50x = 35,726,481,210.25
  5. Step 5: Solve for x
    x = 35,726,481,210.25/121,104.50
  6. Step 6: Final answer
    x = 295,005.40

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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.