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Finding the Third Proportional to 13,734 and 21,765

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Solution

The third proportional to 13,734 and 21,765 is: 34,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734 : 21,765 = 21,765 : x
  2. Step 2: Convert to fraction form
    13,734/21,765 = 21,765/x
  3. Step 3: Cross multiply
    13,734x = 21,765 × 21,765
  4. Step 4: Simplify right side
    13,734x = 473,715,225
  5. Step 5: Solve for x
    x = 473,715,225/13,734
  6. Step 6: Final answer
    x = 34,492.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.