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Finding the Third Proportional to 20,173 and 31,364

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Solution

The third proportional to 20,173 and 31,364 is: 48,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 31,364 = 31,364 : x
  2. Step 2: Convert to fraction form
    20,173/31,364 = 31,364/x
  3. Step 3: Cross multiply
    20,173x = 31,364 × 31,364
  4. Step 4: Simplify right side
    20,173x = 983,700,496
  5. Step 5: Solve for x
    x = 983,700,496/20,173
  6. Step 6: Final answer
    x = 48,763.22

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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.