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Finding the Third Proportional to 20,254 and 31,700

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Solution

The third proportional to 20,254 and 31,700 is: 49,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254 : 31,700 = 31,700 : x
  2. Step 2: Convert to fraction form
    20,254/31,700 = 31,700/x
  3. Step 3: Cross multiply
    20,254x = 31,700 × 31,700
  4. Step 4: Simplify right side
    20,254x = 1,004,890,000
  5. Step 5: Solve for x
    x = 1,004,890,000/20,254
  6. Step 6: Final answer
    x = 49,614.40

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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.