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Finding the Third Proportional to 452.67 and 946.16

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Solution

The third proportional to 452.67 and 946.16 is: 1,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.67 : 946.16 = 946.16 : x
  2. Step 2: Convert to fraction form
    452.67/946.16 = 946.16/x
  3. Step 3: Cross multiply
    452.67x = 946.16 × 946.16
  4. Step 4: Simplify right side
    452.67x = 895,219.04
  5. Step 5: Solve for x
    x = 895,219.04/452.67
  6. Step 6: Final answer
    x = 1,977.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.