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Finding the Third Proportional to 15,509 and 19,915

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Solution

The third proportional to 15,509 and 19,915 is: 25,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509 : 19,915 = 19,915 : x
  2. Step 2: Convert to fraction form
    15,509/19,915 = 19,915/x
  3. Step 3: Cross multiply
    15,509x = 19,915 × 19,915
  4. Step 4: Simplify right side
    15,509x = 396,607,225
  5. Step 5: Solve for x
    x = 396,607,225/15,509
  6. Step 6: Final answer
    x = 25,572.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.