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Finding the Third Proportional to 1,575 and 3,279.66

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Solution

The third proportional to 1,575 and 3,279.66 is: 6,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575 : 3,279.66 = 3,279.66 : x
  2. Step 2: Convert to fraction form
    1,575/3,279.66 = 3,279.66/x
  3. Step 3: Cross multiply
    1,575x = 3,279.66 × 3,279.66
  4. Step 4: Simplify right side
    1,575x = 10,756,145.12
  5. Step 5: Solve for x
    x = 10,756,145.12/1,575
  6. Step 6: Final answer
    x = 6,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.