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Finding the Third Proportional to 998 and 2,129.50

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Solution

The third proportional to 998 and 2,129.50 is: 4,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 2,129.50 = 2,129.50 : x
  2. Step 2: Convert to fraction form
    998/2,129.50 = 2,129.50/x
  3. Step 3: Cross multiply
    998x = 2,129.50 × 2,129.50
  4. Step 4: Simplify right side
    998x = 4,534,770.25
  5. Step 5: Solve for x
    x = 4,534,770.25/998
  6. Step 6: Final answer
    x = 4,543.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.