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Finding the Third Proportional to 10,591 and 14,878

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Solution

The third proportional to 10,591 and 14,878 is: 20,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 14,878 = 14,878 : x
  2. Step 2: Convert to fraction form
    10,591/14,878 = 14,878/x
  3. Step 3: Cross multiply
    10,591x = 14,878 × 14,878
  4. Step 4: Simplify right side
    10,591x = 221,354,884
  5. Step 5: Solve for x
    x = 221,354,884/10,591
  6. Step 6: Final answer
    x = 20,900.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.