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Finding the Third Proportional to 307.31 and 476.91

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Solution

The third proportional to 307.31 and 476.91 is: 740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.31 : 476.91 = 476.91 : x
  2. Step 2: Convert to fraction form
    307.31/476.91 = 476.91/x
  3. Step 3: Cross multiply
    307.31x = 476.91 × 476.91
  4. Step 4: Simplify right side
    307.31x = 227,439.57
  5. Step 5: Solve for x
    x = 227,439.57/307.31
  6. Step 6: Final answer
    x = 740.09

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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.