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Finding the Third Proportional to 14,481 and 31,733

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Solution

The third proportional to 14,481 and 31,733 is: 69,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481 : 31,733 = 31,733 : x
  2. Step 2: Convert to fraction form
    14,481/31,733 = 31,733/x
  3. Step 3: Cross multiply
    14,481x = 31,733 × 31,733
  4. Step 4: Simplify right side
    14,481x = 1,006,983,289
  5. Step 5: Solve for x
    x = 1,006,983,289/14,481
  6. Step 6: Final answer
    x = 69,538.24

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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.