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Finding the Third Proportional to 308.07 and 477.35

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Solution

The third proportional to 308.07 and 477.35 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 477.35 = 477.35 : x
  2. Step 2: Convert to fraction form
    308.07/477.35 = 477.35/x
  3. Step 3: Cross multiply
    308.07x = 477.35 × 477.35
  4. Step 4: Simplify right side
    308.07x = 227,864.51
  5. Step 5: Solve for x
    x = 227,864.51/308.07
  6. Step 6: Final answer
    x = 739.64

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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.