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Finding the Third Proportional to 433.49 and 661.06

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Solution

The third proportional to 433.49 and 661.06 is: 1,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.49 : 661.06 = 661.06 : x
  2. Step 2: Convert to fraction form
    433.49/661.06 = 661.06/x
  3. Step 3: Cross multiply
    433.49x = 661.06 × 661.06
  4. Step 4: Simplify right side
    433.49x = 437,001.05
  5. Step 5: Solve for x
    x = 437,001.05/433.49
  6. Step 6: Final answer
    x = 1,008.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.