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Finding the Third Proportional to 312.47 and 368.44

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Solution

The third proportional to 312.47 and 368.44 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 368.44 = 368.44 : x
  2. Step 2: Convert to fraction form
    312.47/368.44 = 368.44/x
  3. Step 3: Cross multiply
    312.47x = 368.44 × 368.44
  4. Step 4: Simplify right side
    312.47x = 135,746.19
  5. Step 5: Solve for x
    x = 135,746.19/312.47
  6. Step 6: Final answer
    x = 434.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.