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Finding the Third Proportional to 306 and 444.66

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Solution

The third proportional to 306 and 444.66 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 444.66 = 444.66 : x
  2. Step 2: Convert to fraction form
    306/444.66 = 444.66/x
  3. Step 3: Cross multiply
    306x = 444.66 × 444.66
  4. Step 4: Simplify right side
    306x = 197,719.18
  5. Step 5: Solve for x
    x = 197,719.18/306
  6. Step 6: Final answer
    x = 646.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.