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Finding the Third Proportional to 309.95 and 675.16

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Solution

The third proportional to 309.95 and 675.16 is: 1,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 675.16 = 675.16 : x
  2. Step 2: Convert to fraction form
    309.95/675.16 = 675.16/x
  3. Step 3: Cross multiply
    309.95x = 675.16 × 675.16
  4. Step 4: Simplify right side
    309.95x = 455,843.05
  5. Step 5: Solve for x
    x = 455,843.05/309.95
  6. Step 6: Final answer
    x = 1,470.70

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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.