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Finding the Third Proportional to 13,346 and 19,330

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Solution

The third proportional to 13,346 and 19,330 is: 27,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346 : 19,330 = 19,330 : x
  2. Step 2: Convert to fraction form
    13,346/19,330 = 19,330/x
  3. Step 3: Cross multiply
    13,346x = 19,330 × 19,330
  4. Step 4: Simplify right side
    13,346x = 373,648,900
  5. Step 5: Solve for x
    x = 373,648,900/13,346
  6. Step 6: Final answer
    x = 27,997.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.