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Finding the Third Proportional to 20,257 and 31,705

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Solution

The third proportional to 20,257 and 31,705 is: 49,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257 : 31,705 = 31,705 : x
  2. Step 2: Convert to fraction form
    20,257/31,705 = 31,705/x
  3. Step 3: Cross multiply
    20,257x = 31,705 × 31,705
  4. Step 4: Simplify right side
    20,257x = 1,005,207,025
  5. Step 5: Solve for x
    x = 1,005,207,025/20,257
  6. Step 6: Final answer
    x = 49,622.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.