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Finding the Third Proportional to 199.56 and 306.63

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Solution

The third proportional to 199.56 and 306.63 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 306.63 = 306.63 : x
  2. Step 2: Convert to fraction form
    199.56/306.63 = 306.63/x
  3. Step 3: Cross multiply
    199.56x = 306.63 × 306.63
  4. Step 4: Simplify right side
    199.56x = 94,018.89
  5. Step 5: Solve for x
    x = 94,018.89/199.56
  6. Step 6: Final answer
    x = 471.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.