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Finding the Third Proportional to 20,488 and 31,278

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Solution

The third proportional to 20,488 and 31,278 is: 47,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488 : 31,278 = 31,278 : x
  2. Step 2: Convert to fraction form
    20,488/31,278 = 31,278/x
  3. Step 3: Cross multiply
    20,488x = 31,278 × 31,278
  4. Step 4: Simplify right side
    20,488x = 978,313,284
  5. Step 5: Solve for x
    x = 978,313,284/20,488
  6. Step 6: Final answer
    x = 47,750.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.