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Finding the Third Proportional to 300.75 and 710.25

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Solution

The third proportional to 300.75 and 710.25 is: 1,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 710.25 = 710.25 : x
  2. Step 2: Convert to fraction form
    300.75/710.25 = 710.25/x
  3. Step 3: Cross multiply
    300.75x = 710.25 × 710.25
  4. Step 4: Simplify right side
    300.75x = 504,455.06
  5. Step 5: Solve for x
    x = 504,455.06/300.75
  6. Step 6: Final answer
    x = 1,677.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.