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Finding the Third Proportional to 403.63 and 640.19

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Solution

The third proportional to 403.63 and 640.19 is: 1,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 640.19 = 640.19 : x
  2. Step 2: Convert to fraction form
    403.63/640.19 = 640.19/x
  3. Step 3: Cross multiply
    403.63x = 640.19 × 640.19
  4. Step 4: Simplify right side
    403.63x = 409,840.04
  5. Step 5: Solve for x
    x = 409,840.04/403.63
  6. Step 6: Final answer
    x = 1,015.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.