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Finding the Third Proportional to 297.42 and 804.30

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Solution

The third proportional to 297.42 and 804.30 is: 2,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 804.30 = 804.30 : x
  2. Step 2: Convert to fraction form
    297.42/804.30 = 804.30/x
  3. Step 3: Cross multiply
    297.42x = 804.30 × 804.30
  4. Step 4: Simplify right side
    297.42x = 646,906.03
  5. Step 5: Solve for x
    x = 646,906.03/297.42
  6. Step 6: Final answer
    x = 2,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.