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Finding the Third Proportional to 1,755.11 and 2,645.79

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Solution

The third proportional to 1,755.11 and 2,645.79 is: 3,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.11 : 2,645.79 = 2,645.79 : x
  2. Step 2: Convert to fraction form
    1,755.11/2,645.79 = 2,645.79/x
  3. Step 3: Cross multiply
    1,755.11x = 2,645.79 × 2,645.79
  4. Step 4: Simplify right side
    1,755.11x = 7,000,199.76
  5. Step 5: Solve for x
    x = 7,000,199.76/1,755.11
  6. Step 6: Final answer
    x = 3,988.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.