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Finding the Third Proportional to 310,305 and 675,906

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Solution

The third proportional to 310,305 and 675,906 is: 1,472,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,305 : 675,906 = 675,906 : x
  2. Step 2: Convert to fraction form
    310,305/675,906 = 675,906/x
  3. Step 3: Cross multiply
    310,305x = 675,906 × 675,906
  4. Step 4: Simplify right side
    310,305x = 456,848,920,836
  5. Step 5: Solve for x
    x = 456,848,920,836/310,305
  6. Step 6: Final answer
    x = 1,472,257.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.