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Finding the Third Proportional to 433.38 and 612.94

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Solution

The third proportional to 433.38 and 612.94 is: 866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.38 : 612.94 = 612.94 : x
  2. Step 2: Convert to fraction form
    433.38/612.94 = 612.94/x
  3. Step 3: Cross multiply
    433.38x = 612.94 × 612.94
  4. Step 4: Simplify right side
    433.38x = 375,692.38
  5. Step 5: Solve for x
    x = 375,692.38/433.38
  6. Step 6: Final answer
    x = 866.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.