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Finding the Third Proportional to 121,788.56 and 191,301.75

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Solution

The third proportional to 121,788.56 and 191,301.75 is: 300,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,788.56 : 191,301.75 = 191,301.75 : x
  2. Step 2: Convert to fraction form
    121,788.56/191,301.75 = 191,301.75/x
  3. Step 3: Cross multiply
    121,788.56x = 191,301.75 × 191,301.75
  4. Step 4: Simplify right side
    121,788.56x = 36,596,359,553.06
  5. Step 5: Solve for x
    x = 36,596,359,553.06/121,788.56
  6. Step 6: Final answer
    x = 300,490.94

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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.