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Finding the Third Proportional to 790.49 and 1,181.36

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Solution

The third proportional to 790.49 and 1,181.36 is: 1,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.49 : 1,181.36 = 1,181.36 : x
  2. Step 2: Convert to fraction form
    790.49/1,181.36 = 1,181.36/x
  3. Step 3: Cross multiply
    790.49x = 1,181.36 × 1,181.36
  4. Step 4: Simplify right side
    790.49x = 1,395,600.74
  5. Step 5: Solve for x
    x = 1,395,600.74/790.49
  6. Step 6: Final answer
    x = 1,765.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.