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Finding the Third Proportional to 20,497 and 31,550

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Solution

The third proportional to 20,497 and 31,550 is: 48,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497 : 31,550 = 31,550 : x
  2. Step 2: Convert to fraction form
    20,497/31,550 = 31,550/x
  3. Step 3: Cross multiply
    20,497x = 31,550 × 31,550
  4. Step 4: Simplify right side
    20,497x = 995,402,500
  5. Step 5: Solve for x
    x = 995,402,500/20,497
  6. Step 6: Final answer
    x = 48,563.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.