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Finding the Third Proportional to 306,216 and 675,936

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Solution

The third proportional to 306,216 and 675,936 is: 1,492,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216 : 675,936 = 675,936 : x
  2. Step 2: Convert to fraction form
    306,216/675,936 = 675,936/x
  3. Step 3: Cross multiply
    306,216x = 675,936 × 675,936
  4. Step 4: Simplify right side
    306,216x = 456,889,476,096
  5. Step 5: Solve for x
    x = 456,889,476,096/306,216
  6. Step 6: Final answer
    x = 1,492,049.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.