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Finding the Third Proportional to 131,301.75 and 191,211

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Solution

The third proportional to 131,301.75 and 191,211 is: 278,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301.75 : 191,211 = 191,211 : x
  2. Step 2: Convert to fraction form
    131,301.75/191,211 = 191,211/x
  3. Step 3: Cross multiply
    131,301.75x = 191,211 × 191,211
  4. Step 4: Simplify right side
    131,301.75x = 36,561,646,521
  5. Step 5: Solve for x
    x = 36,561,646,521/131,301.75
  6. Step 6: Final answer
    x = 278,455.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.