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Finding the Third Proportional to 20,768 and 31,368

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Solution

The third proportional to 20,768 and 31,368 is: 47,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 31,368 = 31,368 : x
  2. Step 2: Convert to fraction form
    20,768/31,368 = 31,368/x
  3. Step 3: Cross multiply
    20,768x = 31,368 × 31,368
  4. Step 4: Simplify right side
    20,768x = 983,951,424
  5. Step 5: Solve for x
    x = 983,951,424/20,768
  6. Step 6: Final answer
    x = 47,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.