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Finding the Third Proportional to 307.83 and 451.55

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Solution

The third proportional to 307.83 and 451.55 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.83 : 451.55 = 451.55 : x
  2. Step 2: Convert to fraction form
    307.83/451.55 = 451.55/x
  3. Step 3: Cross multiply
    307.83x = 451.55 × 451.55
  4. Step 4: Simplify right side
    307.83x = 203,894.58
  5. Step 5: Solve for x
    x = 203,894.58/307.83
  6. Step 6: Final answer
    x = 662.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.