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Finding the Third Proportional to 303.12 and 433.16

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Solution

The third proportional to 303.12 and 433.16 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 433.16 = 433.16 : x
  2. Step 2: Convert to fraction form
    303.12/433.16 = 433.16/x
  3. Step 3: Cross multiply
    303.12x = 433.16 × 433.16
  4. Step 4: Simplify right side
    303.12x = 187,627.72
  5. Step 5: Solve for x
    x = 187,627.72/303.12
  6. Step 6: Final answer
    x = 618.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.