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Finding the Third Proportional to 181.63 and 276.06

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Solution

The third proportional to 181.63 and 276.06 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 276.06 = 276.06 : x
  2. Step 2: Convert to fraction form
    181.63/276.06 = 276.06/x
  3. Step 3: Cross multiply
    181.63x = 276.06 × 276.06
  4. Step 4: Simplify right side
    181.63x = 76,210.50
  5. Step 5: Solve for x
    x = 76,210.50/181.63
  6. Step 6: Final answer
    x = 419.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.