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Finding the Third Proportional to 1,655.02 and 3,550.08

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Solution

The third proportional to 1,655.02 and 3,550.08 is: 7,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.02 : 3,550.08 = 3,550.08 : x
  2. Step 2: Convert to fraction form
    1,655.02/3,550.08 = 3,550.08/x
  3. Step 3: Cross multiply
    1,655.02x = 3,550.08 × 3,550.08
  4. Step 4: Simplify right side
    1,655.02x = 12,603,054.69
  5. Step 5: Solve for x
    x = 12,603,054.69/1,655.02
  6. Step 6: Final answer
    x = 7,615.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.