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Finding the Third Proportional to 142,684 and 211,972

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Solution

The third proportional to 142,684 and 211,972 is: 314,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,684 : 211,972 = 211,972 : x
  2. Step 2: Convert to fraction form
    142,684/211,972 = 211,972/x
  3. Step 3: Cross multiply
    142,684x = 211,972 × 211,972
  4. Step 4: Simplify right side
    142,684x = 44,932,128,784
  5. Step 5: Solve for x
    x = 44,932,128,784/142,684
  6. Step 6: Final answer
    x = 314,906.57

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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.