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Finding the Third Proportional to 13,185 and 19,281

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Solution

The third proportional to 13,185 and 19,281 is: 28,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 19,281 = 19,281 : x
  2. Step 2: Convert to fraction form
    13,185/19,281 = 19,281/x
  3. Step 3: Cross multiply
    13,185x = 19,281 × 19,281
  4. Step 4: Simplify right side
    13,185x = 371,756,961
  5. Step 5: Solve for x
    x = 371,756,961/13,185
  6. Step 6: Final answer
    x = 28,195.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.