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Finding the Third Proportional to 3,705 and 6,405.75

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Solution

The third proportional to 3,705 and 6,405.75 is: 11,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 6,405.75 = 6,405.75 : x
  2. Step 2: Convert to fraction form
    3,705/6,405.75 = 6,405.75/x
  3. Step 3: Cross multiply
    3,705x = 6,405.75 × 6,405.75
  4. Step 4: Simplify right side
    3,705x = 41,033,633.06
  5. Step 5: Solve for x
    x = 41,033,633.06/3,705
  6. Step 6: Final answer
    x = 11,075.20

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.