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Finding the Third Proportional to 21,319 and 31,979

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Solution

The third proportional to 21,319 and 31,979 is: 47,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319 : 31,979 = 31,979 : x
  2. Step 2: Convert to fraction form
    21,319/31,979 = 31,979/x
  3. Step 3: Cross multiply
    21,319x = 31,979 × 31,979
  4. Step 4: Simplify right side
    21,319x = 1,022,656,441
  5. Step 5: Solve for x
    x = 1,022,656,441/21,319
  6. Step 6: Final answer
    x = 47,969.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.