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Finding the Third Proportional to 15,784 and 17,424

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Solution

The third proportional to 15,784 and 17,424 is: 19,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 17,424 = 17,424 : x
  2. Step 2: Convert to fraction form
    15,784/17,424 = 17,424/x
  3. Step 3: Cross multiply
    15,784x = 17,424 × 17,424
  4. Step 4: Simplify right side
    15,784x = 303,595,776
  5. Step 5: Solve for x
    x = 303,595,776/15,784
  6. Step 6: Final answer
    x = 19,234.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.