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Finding the Third Proportional to 998 and 2,178.50

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Solution

The third proportional to 998 and 2,178.50 is: 4,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 2,178.50 = 2,178.50 : x
  2. Step 2: Convert to fraction form
    998/2,178.50 = 2,178.50/x
  3. Step 3: Cross multiply
    998x = 2,178.50 × 2,178.50
  4. Step 4: Simplify right side
    998x = 4,745,862.25
  5. Step 5: Solve for x
    x = 4,745,862.25/998
  6. Step 6: Final answer
    x = 4,755.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.