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Finding the Third Proportional to 13,758 and 15,270

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Solution

The third proportional to 13,758 and 15,270 is: 16,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 15,270 = 15,270 : x
  2. Step 2: Convert to fraction form
    13,758/15,270 = 15,270/x
  3. Step 3: Cross multiply
    13,758x = 15,270 × 15,270
  4. Step 4: Simplify right side
    13,758x = 233,172,900
  5. Step 5: Solve for x
    x = 233,172,900/13,758
  6. Step 6: Final answer
    x = 16,948.17

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.