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Finding the Third Proportional to 159,752 and 211,980

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Solution

The third proportional to 159,752 and 211,980 is: 281,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,752 : 211,980 = 211,980 : x
  2. Step 2: Convert to fraction form
    159,752/211,980 = 211,980/x
  3. Step 3: Cross multiply
    159,752x = 211,980 × 211,980
  4. Step 4: Simplify right side
    159,752x = 44,935,520,400
  5. Step 5: Solve for x
    x = 44,935,520,400/159,752
  6. Step 6: Final answer
    x = 281,282.99

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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.