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Finding the Third Proportional to 148,981 and 191,284

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Solution

The third proportional to 148,981 and 191,284 is: 245,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,981 : 191,284 = 191,284 : x
  2. Step 2: Convert to fraction form
    148,981/191,284 = 191,284/x
  3. Step 3: Cross multiply
    148,981x = 191,284 × 191,284
  4. Step 4: Simplify right side
    148,981x = 36,589,568,656
  5. Step 5: Solve for x
    x = 36,589,568,656/148,981
  6. Step 6: Final answer
    x = 245,598.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.