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Finding the Third Proportional to 13,385 and 28,621

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Solution

The third proportional to 13,385 and 28,621 is: 61,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385 : 28,621 = 28,621 : x
  2. Step 2: Convert to fraction form
    13,385/28,621 = 28,621/x
  3. Step 3: Cross multiply
    13,385x = 28,621 × 28,621
  4. Step 4: Simplify right side
    13,385x = 819,161,641
  5. Step 5: Solve for x
    x = 819,161,641/13,385
  6. Step 6: Final answer
    x = 61,199.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.