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Finding the Third Proportional to 628.88 and 1,643.06

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Solution

The third proportional to 628.88 and 1,643.06 is: 4,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 1,643.06 = 1,643.06 : x
  2. Step 2: Convert to fraction form
    628.88/1,643.06 = 1,643.06/x
  3. Step 3: Cross multiply
    628.88x = 1,643.06 × 1,643.06
  4. Step 4: Simplify right side
    628.88x = 2,699,654.38
  5. Step 5: Solve for x
    x = 2,699,654.38/628.88
  6. Step 6: Final answer
    x = 4,292.83

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.