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Finding the Third Proportional to 121,782 and 191,089

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Solution

The third proportional to 121,782 and 191,089 is: 299,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,782 : 191,089 = 191,089 : x
  2. Step 2: Convert to fraction form
    121,782/191,089 = 191,089/x
  3. Step 3: Cross multiply
    121,782x = 191,089 × 191,089
  4. Step 4: Simplify right side
    121,782x = 36,515,005,921
  5. Step 5: Solve for x
    x = 36,515,005,921/121,782
  6. Step 6: Final answer
    x = 299,839.11

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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.