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Finding the Third Proportional to 12,257 and 19,475

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Solution

The third proportional to 12,257 and 19,475 is: 30,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257 : 19,475 = 19,475 : x
  2. Step 2: Convert to fraction form
    12,257/19,475 = 19,475/x
  3. Step 3: Cross multiply
    12,257x = 19,475 × 19,475
  4. Step 4: Simplify right side
    12,257x = 379,275,625
  5. Step 5: Solve for x
    x = 379,275,625/12,257
  6. Step 6: Final answer
    x = 30,943.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.