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Finding the Third Proportional to 12,320 and 19,586

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Solution

The third proportional to 12,320 and 19,586 is: 31,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320 : 19,586 = 19,586 : x
  2. Step 2: Convert to fraction form
    12,320/19,586 = 19,586/x
  3. Step 3: Cross multiply
    12,320x = 19,586 × 19,586
  4. Step 4: Simplify right side
    12,320x = 383,611,396
  5. Step 5: Solve for x
    x = 383,611,396/12,320
  6. Step 6: Final answer
    x = 31,137.29

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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.