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Finding the Third Proportional to 1,652.80 and 3,536.26

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Solution

The third proportional to 1,652.80 and 3,536.26 is: 7,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.80 : 3,536.26 = 3,536.26 : x
  2. Step 2: Convert to fraction form
    1,652.80/3,536.26 = 3,536.26/x
  3. Step 3: Cross multiply
    1,652.80x = 3,536.26 × 3,536.26
  4. Step 4: Simplify right side
    1,652.80x = 12,505,100.32
  5. Step 5: Solve for x
    x = 12,505,100.32/1,652.80
  6. Step 6: Final answer
    x = 7,566.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.