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Finding the Third Proportional to 309.88 and 675.34

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Solution

The third proportional to 309.88 and 675.34 is: 1,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 675.34 = 675.34 : x
  2. Step 2: Convert to fraction form
    309.88/675.34 = 675.34/x
  3. Step 3: Cross multiply
    309.88x = 675.34 × 675.34
  4. Step 4: Simplify right side
    309.88x = 456,089.18
  5. Step 5: Solve for x
    x = 456,089.18/309.88
  6. Step 6: Final answer
    x = 1,471.85

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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.