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Finding the Third Proportional to 434.75 and 613.38

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Solution

The third proportional to 434.75 and 613.38 is: 865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 613.38 = 613.38 : x
  2. Step 2: Convert to fraction form
    434.75/613.38 = 613.38/x
  3. Step 3: Cross multiply
    434.75x = 613.38 × 613.38
  4. Step 4: Simplify right side
    434.75x = 376,228.89
  5. Step 5: Solve for x
    x = 376,228.89/434.75
  6. Step 6: Final answer
    x = 865.39

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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.