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Finding the Third Proportional to 12,318 and 19,583

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Solution

The third proportional to 12,318 and 19,583 is: 31,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 19,583 = 19,583 : x
  2. Step 2: Convert to fraction form
    12,318/19,583 = 19,583/x
  3. Step 3: Cross multiply
    12,318x = 19,583 × 19,583
  4. Step 4: Simplify right side
    12,318x = 383,493,889
  5. Step 5: Solve for x
    x = 383,493,889/12,318
  6. Step 6: Final answer
    x = 31,132.80

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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.