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Finding the Third Proportional to 1,605.45 and 2,190.80

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Solution

The third proportional to 1,605.45 and 2,190.80 is: 2,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.45 : 2,190.80 = 2,190.80 : x
  2. Step 2: Convert to fraction form
    1,605.45/2,190.80 = 2,190.80/x
  3. Step 3: Cross multiply
    1,605.45x = 2,190.80 × 2,190.80
  4. Step 4: Simplify right side
    1,605.45x = 4,799,590.95
  5. Step 5: Solve for x
    x = 4,799,590.95/1,605.45
  6. Step 6: Final answer
    x = 2,989.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.