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Finding the Third Proportional to 308 and 476.88

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Solution

The third proportional to 308 and 476.88 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 476.88 = 476.88 : x
  2. Step 2: Convert to fraction form
    308/476.88 = 476.88/x
  3. Step 3: Cross multiply
    308x = 476.88 × 476.88
  4. Step 4: Simplify right side
    308x = 227,409.77
  5. Step 5: Solve for x
    x = 227,409.77/308
  6. Step 6: Final answer
    x = 738.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.