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Finding the Third Proportional to 303.81 and 666.46

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Solution

The third proportional to 303.81 and 666.46 is: 1,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 666.46 = 666.46 : x
  2. Step 2: Convert to fraction form
    303.81/666.46 = 666.46/x
  3. Step 3: Cross multiply
    303.81x = 666.46 × 666.46
  4. Step 4: Simplify right side
    303.81x = 444,164.97
  5. Step 5: Solve for x
    x = 444,164.97/303.81
  6. Step 6: Final answer
    x = 1,461.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.