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Finding the Third Proportional to 253.64 and 383.20

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Solution

The third proportional to 253.64 and 383.20 is: 578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 383.20 = 383.20 : x
  2. Step 2: Convert to fraction form
    253.64/383.20 = 383.20/x
  3. Step 3: Cross multiply
    253.64x = 383.20 × 383.20
  4. Step 4: Simplify right side
    253.64x = 146,844.64
  5. Step 5: Solve for x
    x = 146,844.64/253.64
  6. Step 6: Final answer
    x = 578.95

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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.