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Finding the Third Proportional to 280.90 and 433.05

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Solution

The third proportional to 280.90 and 433.05 is: 667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.90 : 433.05 = 433.05 : x
  2. Step 2: Convert to fraction form
    280.90/433.05 = 433.05/x
  3. Step 3: Cross multiply
    280.90x = 433.05 × 433.05
  4. Step 4: Simplify right side
    280.90x = 187,536.36
  5. Step 5: Solve for x
    x = 187,536.36/280.90
  6. Step 6: Final answer
    x = 667.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.