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Finding the Third Proportional to 292.99 and 629.65

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Solution

The third proportional to 292.99 and 629.65 is: 1,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.99 : 629.65 = 629.65 : x
  2. Step 2: Convert to fraction form
    292.99/629.65 = 629.65/x
  3. Step 3: Cross multiply
    292.99x = 629.65 × 629.65
  4. Step 4: Simplify right side
    292.99x = 396,457.15
  5. Step 5: Solve for x
    x = 396,457.15/292.99
  6. Step 6: Final answer
    x = 1,353.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.