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Finding the Third Proportional to 7,509 and 13,377

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Solution

The third proportional to 7,509 and 13,377 is: 23,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 13,377 = 13,377 : x
  2. Step 2: Convert to fraction form
    7,509/13,377 = 13,377/x
  3. Step 3: Cross multiply
    7,509x = 13,377 × 13,377
  4. Step 4: Simplify right side
    7,509x = 178,944,129
  5. Step 5: Solve for x
    x = 178,944,129/7,509
  6. Step 6: Final answer
    x = 23,830.62

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.