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Finding the Third Proportional to 433.17 and 770.16

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Solution

The third proportional to 433.17 and 770.16 is: 1,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.17 : 770.16 = 770.16 : x
  2. Step 2: Convert to fraction form
    433.17/770.16 = 770.16/x
  3. Step 3: Cross multiply
    433.17x = 770.16 × 770.16
  4. Step 4: Simplify right side
    433.17x = 593,140.65
  5. Step 5: Solve for x
    x = 593,140.65/433.17
  6. Step 6: Final answer
    x = 1,369.30

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.