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Finding the Third Proportional to 276.12 and 624.06

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Solution

The third proportional to 276.12 and 624.06 is: 1,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 624.06 = 624.06 : x
  2. Step 2: Convert to fraction form
    276.12/624.06 = 624.06/x
  3. Step 3: Cross multiply
    276.12x = 624.06 × 624.06
  4. Step 4: Simplify right side
    276.12x = 389,449.13
  5. Step 5: Solve for x
    x = 389,449.13/276.12
  6. Step 6: Final answer
    x = 1,410.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.