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Finding the Third Proportional to 309.98 and 675.61

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Solution

The third proportional to 309.98 and 675.61 is: 1,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 675.61 = 675.61 : x
  2. Step 2: Convert to fraction form
    309.98/675.61 = 675.61/x
  3. Step 3: Cross multiply
    309.98x = 675.61 × 675.61
  4. Step 4: Simplify right side
    309.98x = 456,448.03
  5. Step 5: Solve for x
    x = 456,448.03/309.98
  6. Step 6: Final answer
    x = 1,472.49

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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.