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Finding the Third Proportional to 20,053 and 31,173

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Solution

The third proportional to 20,053 and 31,173 is: 48,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053 : 31,173 = 31,173 : x
  2. Step 2: Convert to fraction form
    20,053/31,173 = 31,173/x
  3. Step 3: Cross multiply
    20,053x = 31,173 × 31,173
  4. Step 4: Simplify right side
    20,053x = 971,755,929
  5. Step 5: Solve for x
    x = 971,755,929/20,053
  6. Step 6: Final answer
    x = 48,459.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.