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Finding the Third Proportional to 14,145 and 31,011

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Solution

The third proportional to 14,145 and 31,011 is: 67,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145 : 31,011 = 31,011 : x
  2. Step 2: Convert to fraction form
    14,145/31,011 = 31,011/x
  3. Step 3: Cross multiply
    14,145x = 31,011 × 31,011
  4. Step 4: Simplify right side
    14,145x = 961,682,121
  5. Step 5: Solve for x
    x = 961,682,121/14,145
  6. Step 6: Final answer
    x = 67,987.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.