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Finding the Third Proportional to 1,769.67 and 2,811.45

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Solution

The third proportional to 1,769.67 and 2,811.45 is: 4,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.67 : 2,811.45 = 2,811.45 : x
  2. Step 2: Convert to fraction form
    1,769.67/2,811.45 = 2,811.45/x
  3. Step 3: Cross multiply
    1,769.67x = 2,811.45 × 2,811.45
  4. Step 4: Simplify right side
    1,769.67x = 7,904,224.75
  5. Step 5: Solve for x
    x = 7,904,224.75/1,769.67
  6. Step 6: Final answer
    x = 4,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.