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Finding the Third Proportional to 7,509 and 13,371

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Solution

The third proportional to 7,509 and 13,371 is: 23,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 13,371 = 13,371 : x
  2. Step 2: Convert to fraction form
    7,509/13,371 = 13,371/x
  3. Step 3: Cross multiply
    7,509x = 13,371 × 13,371
  4. Step 4: Simplify right side
    7,509x = 178,783,641
  5. Step 5: Solve for x
    x = 178,783,641/7,509
  6. Step 6: Final answer
    x = 23,809.25

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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.