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Finding the Third Proportional to 20,176 and 31,402

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Solution

The third proportional to 20,176 and 31,402 is: 48,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176 : 31,402 = 31,402 : x
  2. Step 2: Convert to fraction form
    20,176/31,402 = 31,402/x
  3. Step 3: Cross multiply
    20,176x = 31,402 × 31,402
  4. Step 4: Simplify right side
    20,176x = 986,085,604
  5. Step 5: Solve for x
    x = 986,085,604/20,176
  6. Step 6: Final answer
    x = 48,874.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.