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Finding the Third Proportional to 203.16 and 314.28

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Solution

The third proportional to 203.16 and 314.28 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.16 : 314.28 = 314.28 : x
  2. Step 2: Convert to fraction form
    203.16/314.28 = 314.28/x
  3. Step 3: Cross multiply
    203.16x = 314.28 × 314.28
  4. Step 4: Simplify right side
    203.16x = 98,772.70
  5. Step 5: Solve for x
    x = 98,772.70/203.16
  6. Step 6: Final answer
    x = 486.19

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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.