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Finding the Third Proportional to 20,963 and 31,715

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Solution

The third proportional to 20,963 and 31,715 is: 47,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963 : 31,715 = 31,715 : x
  2. Step 2: Convert to fraction form
    20,963/31,715 = 31,715/x
  3. Step 3: Cross multiply
    20,963x = 31,715 × 31,715
  4. Step 4: Simplify right side
    20,963x = 1,005,841,225
  5. Step 5: Solve for x
    x = 1,005,841,225/20,963
  6. Step 6: Final answer
    x = 47,981.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.