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Finding the Third Proportional to 200.25 and 312

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Solution

The third proportional to 200.25 and 312 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 312 = 312 : x
  2. Step 2: Convert to fraction form
    200.25/312 = 312/x
  3. Step 3: Cross multiply
    200.25x = 312 × 312
  4. Step 4: Simplify right side
    200.25x = 97,344
  5. Step 5: Solve for x
    x = 97,344/200.25
  6. Step 6: Final answer
    x = 486.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.