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Finding the Third Proportional to 13,746 and 20,537

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Solution

The third proportional to 13,746 and 20,537 is: 30,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 20,537 = 20,537 : x
  2. Step 2: Convert to fraction form
    13,746/20,537 = 20,537/x
  3. Step 3: Cross multiply
    13,746x = 20,537 × 20,537
  4. Step 4: Simplify right side
    13,746x = 421,768,369
  5. Step 5: Solve for x
    x = 421,768,369/13,746
  6. Step 6: Final answer
    x = 30,682.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.