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Finding the Third Proportional to 204.84 and 312.09

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Solution

The third proportional to 204.84 and 312.09 is: 475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 312.09 = 312.09 : x
  2. Step 2: Convert to fraction form
    204.84/312.09 = 312.09/x
  3. Step 3: Cross multiply
    204.84x = 312.09 × 312.09
  4. Step 4: Simplify right side
    204.84x = 97,402.51
  5. Step 5: Solve for x
    x = 97,402.51/204.84
  6. Step 6: Final answer
    x = 475.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.