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Finding the Third Proportional to 441.50 and 646.25

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Solution

The third proportional to 441.50 and 646.25 is: 945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 646.25 = 646.25 : x
  2. Step 2: Convert to fraction form
    441.50/646.25 = 646.25/x
  3. Step 3: Cross multiply
    441.50x = 646.25 × 646.25
  4. Step 4: Simplify right side
    441.50x = 417,639.06
  5. Step 5: Solve for x
    x = 417,639.06/441.50
  6. Step 6: Final answer
    x = 945.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.