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Finding the Third Proportional to 12,509 and 19,481

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Solution

The third proportional to 12,509 and 19,481 is: 30,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 19,481 = 19,481 : x
  2. Step 2: Convert to fraction form
    12,509/19,481 = 19,481/x
  3. Step 3: Cross multiply
    12,509x = 19,481 × 19,481
  4. Step 4: Simplify right side
    12,509x = 379,509,361
  5. Step 5: Solve for x
    x = 379,509,361/12,509
  6. Step 6: Final answer
    x = 30,338.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.