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Finding the Third Proportional to 245.81 and 377.30

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Solution

The third proportional to 245.81 and 377.30 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.81 : 377.30 = 377.30 : x
  2. Step 2: Convert to fraction form
    245.81/377.30 = 377.30/x
  3. Step 3: Cross multiply
    245.81x = 377.30 × 377.30
  4. Step 4: Simplify right side
    245.81x = 142,352.93
  5. Step 5: Solve for x
    x = 142,352.93/245.81
  6. Step 6: Final answer
    x = 579.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.