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Finding the Third Proportional to 2,129 and 4,582

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Solution

The third proportional to 2,129 and 4,582 is: 9,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129 : 4,582 = 4,582 : x
  2. Step 2: Convert to fraction form
    2,129/4,582 = 4,582/x
  3. Step 3: Cross multiply
    2,129x = 4,582 × 4,582
  4. Step 4: Simplify right side
    2,129x = 20,994,724
  5. Step 5: Solve for x
    x = 20,994,724/2,129
  6. Step 6: Final answer
    x = 9,861.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.