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Finding the Third Proportional to 1,577.75 and 3,256.75

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Solution

The third proportional to 1,577.75 and 3,256.75 is: 6,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.75 : 3,256.75 = 3,256.75 : x
  2. Step 2: Convert to fraction form
    1,577.75/3,256.75 = 3,256.75/x
  3. Step 3: Cross multiply
    1,577.75x = 3,256.75 × 3,256.75
  4. Step 4: Simplify right side
    1,577.75x = 10,606,420.56
  5. Step 5: Solve for x
    x = 10,606,420.56/1,577.75
  6. Step 6: Final answer
    x = 6,722.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.