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Finding the Third Proportional to 305.65 and 629.02

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Solution

The third proportional to 305.65 and 629.02 is: 1,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 629.02 = 629.02 : x
  2. Step 2: Convert to fraction form
    305.65/629.02 = 629.02/x
  3. Step 3: Cross multiply
    305.65x = 629.02 × 629.02
  4. Step 4: Simplify right side
    305.65x = 395,660.66
  5. Step 5: Solve for x
    x = 395,660.66/305.65
  6. Step 6: Final answer
    x = 1,294.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.