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Finding the Third Proportional to 142,692 and 211,980

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Solution

The third proportional to 142,692 and 211,980 is: 314,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692 : 211,980 = 211,980 : x
  2. Step 2: Convert to fraction form
    142,692/211,980 = 211,980/x
  3. Step 3: Cross multiply
    142,692x = 211,980 × 211,980
  4. Step 4: Simplify right side
    142,692x = 44,935,520,400
  5. Step 5: Solve for x
    x = 44,935,520,400/142,692
  6. Step 6: Final answer
    x = 314,912.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.