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Finding the Third Proportional to 288.88 and 629.13

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Solution

The third proportional to 288.88 and 629.13 is: 1,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 629.13 = 629.13 : x
  2. Step 2: Convert to fraction form
    288.88/629.13 = 629.13/x
  3. Step 3: Cross multiply
    288.88x = 629.13 × 629.13
  4. Step 4: Simplify right side
    288.88x = 395,798.27
  5. Step 5: Solve for x
    x = 395,798.27/288.88
  6. Step 6: Final answer
    x = 1,370.14

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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.