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Finding the Third Proportional to 606.09 and 1,281.80

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Solution

The third proportional to 606.09 and 1,281.80 is: 2,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.09 : 1,281.80 = 1,281.80 : x
  2. Step 2: Convert to fraction form
    606.09/1,281.80 = 1,281.80/x
  3. Step 3: Cross multiply
    606.09x = 1,281.80 × 1,281.80
  4. Step 4: Simplify right side
    606.09x = 1,643,003.23
  5. Step 5: Solve for x
    x = 1,643,003.23/606.09
  6. Step 6: Final answer
    x = 2,710.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.