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Finding the Third Proportional to 203.63 and 307.69

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Solution

The third proportional to 203.63 and 307.69 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 307.69 = 307.69 : x
  2. Step 2: Convert to fraction form
    203.63/307.69 = 307.69/x
  3. Step 3: Cross multiply
    203.63x = 307.69 × 307.69
  4. Step 4: Simplify right side
    203.63x = 94,671.60
  5. Step 5: Solve for x
    x = 94,671.60/203.63
  6. Step 6: Final answer
    x = 464.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.