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Finding the Third Proportional to 159,748 and 211,974

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Solution

The third proportional to 159,748 and 211,974 is: 281,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,748 : 211,974 = 211,974 : x
  2. Step 2: Convert to fraction form
    159,748/211,974 = 211,974/x
  3. Step 3: Cross multiply
    159,748x = 211,974 × 211,974
  4. Step 4: Simplify right side
    159,748x = 44,932,976,676
  5. Step 5: Solve for x
    x = 44,932,976,676/159,748
  6. Step 6: Final answer
    x = 281,274.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.