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Finding the Third Proportional to 20,787 and 31,011

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Solution

The third proportional to 20,787 and 31,011 is: 46,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787 : 31,011 = 31,011 : x
  2. Step 2: Convert to fraction form
    20,787/31,011 = 31,011/x
  3. Step 3: Cross multiply
    20,787x = 31,011 × 31,011
  4. Step 4: Simplify right side
    20,787x = 961,682,121
  5. Step 5: Solve for x
    x = 961,682,121/20,787
  6. Step 6: Final answer
    x = 46,263.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.