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Finding the Third Proportional to 1,755 and 2,779.31

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Solution

The third proportional to 1,755 and 2,779.31 is: 4,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755 : 2,779.31 = 2,779.31 : x
  2. Step 2: Convert to fraction form
    1,755/2,779.31 = 2,779.31/x
  3. Step 3: Cross multiply
    1,755x = 2,779.31 × 2,779.31
  4. Step 4: Simplify right side
    1,755x = 7,724,577.97
  5. Step 5: Solve for x
    x = 7,724,577.97/1,755
  6. Step 6: Final answer
    x = 4,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.