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Finding the Third Proportional to 199.56 and 292.75

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Solution

The third proportional to 199.56 and 292.75 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 292.75 = 292.75 : x
  2. Step 2: Convert to fraction form
    199.56/292.75 = 292.75/x
  3. Step 3: Cross multiply
    199.56x = 292.75 × 292.75
  4. Step 4: Simplify right side
    199.56x = 85,702.56
  5. Step 5: Solve for x
    x = 85,702.56/199.56
  6. Step 6: Final answer
    x = 429.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.