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Finding the Third Proportional to 730.90 and 1,208.36

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Solution

The third proportional to 730.90 and 1,208.36 is: 1,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.90 : 1,208.36 = 1,208.36 : x
  2. Step 2: Convert to fraction form
    730.90/1,208.36 = 1,208.36/x
  3. Step 3: Cross multiply
    730.90x = 1,208.36 × 1,208.36
  4. Step 4: Simplify right side
    730.90x = 1,460,122.94
  5. Step 5: Solve for x
    x = 1,460,122.94/730.90
  6. Step 6: Final answer
    x = 1,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.