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Finding the Third Proportional to 12,283 and 19,215

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Solution

The third proportional to 12,283 and 19,215 is: 30,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283 : 19,215 = 19,215 : x
  2. Step 2: Convert to fraction form
    12,283/19,215 = 19,215/x
  3. Step 3: Cross multiply
    12,283x = 19,215 × 19,215
  4. Step 4: Simplify right side
    12,283x = 369,216,225
  5. Step 5: Solve for x
    x = 369,216,225/12,283
  6. Step 6: Final answer
    x = 30,059.12

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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.