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Finding the Third Proportional to 12,144 and 19,312

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Solution

The third proportional to 12,144 and 19,312 is: 30,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144 : 19,312 = 19,312 : x
  2. Step 2: Convert to fraction form
    12,144/19,312 = 19,312/x
  3. Step 3: Cross multiply
    12,144x = 19,312 × 19,312
  4. Step 4: Simplify right side
    12,144x = 372,953,344
  5. Step 5: Solve for x
    x = 372,953,344/12,144
  6. Step 6: Final answer
    x = 30,710.91

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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.