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Finding the Third Proportional to 307.03 and 671.16

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Solution

The third proportional to 307.03 and 671.16 is: 1,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.03 : 671.16 = 671.16 : x
  2. Step 2: Convert to fraction form
    307.03/671.16 = 671.16/x
  3. Step 3: Cross multiply
    307.03x = 671.16 × 671.16
  4. Step 4: Simplify right side
    307.03x = 450,450.71
  5. Step 5: Solve for x
    x = 450,450.71/307.03
  6. Step 6: Final answer
    x = 1,467.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.