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Finding the Third Proportional to 305.81 and 666.04

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Solution

The third proportional to 305.81 and 666.04 is: 1,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 666.04 = 666.04 : x
  2. Step 2: Convert to fraction form
    305.81/666.04 = 666.04/x
  3. Step 3: Cross multiply
    305.81x = 666.04 × 666.04
  4. Step 4: Simplify right side
    305.81x = 443,602.83
  5. Step 5: Solve for x
    x = 443,602.83/305.81
  6. Step 6: Final answer
    x = 1,450.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.