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Finding the Third Proportional to 121,952.25 and 191,558.25

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Solution

The third proportional to 121,952.25 and 191,558.25 is: 300,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,952.25 : 191,558.25 = 191,558.25 : x
  2. Step 2: Convert to fraction form
    121,952.25/191,558.25 = 191,558.25/x
  3. Step 3: Cross multiply
    121,952.25x = 191,558.25 × 191,558.25
  4. Step 4: Simplify right side
    121,952.25x = 36,694,563,143.06
  5. Step 5: Solve for x
    x = 36,694,563,143.06/121,952.25
  6. Step 6: Final answer
    x = 300,892.88

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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.