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Finding the Third Proportional to 121,405.75 and 190,027.88

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Solution

The third proportional to 121,405.75 and 190,027.88 is: 297,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405.75 : 190,027.88 = 190,027.88 : x
  2. Step 2: Convert to fraction form
    121,405.75/190,027.88 = 190,027.88/x
  3. Step 3: Cross multiply
    121,405.75x = 190,027.88 × 190,027.88
  4. Step 4: Simplify right side
    121,405.75x = 36,110,593,277.02
  5. Step 5: Solve for x
    x = 36,110,593,277.02/121,405.75
  6. Step 6: Final answer
    x = 297,437.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.