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Finding the Third Proportional to 13,896 and 28,432

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Solution

The third proportional to 13,896 and 28,432 is: 58,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896 : 28,432 = 28,432 : x
  2. Step 2: Convert to fraction form
    13,896/28,432 = 28,432/x
  3. Step 3: Cross multiply
    13,896x = 28,432 × 28,432
  4. Step 4: Simplify right side
    13,896x = 808,378,624
  5. Step 5: Solve for x
    x = 808,378,624/13,896
  6. Step 6: Final answer
    x = 58,173.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.