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Finding the Third Proportional to 315,873 and 675,162

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Solution

The third proportional to 315,873 and 675,162 is: 1,443,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,873 : 675,162 = 675,162 : x
  2. Step 2: Convert to fraction form
    315,873/675,162 = 675,162/x
  3. Step 3: Cross multiply
    315,873x = 675,162 × 675,162
  4. Step 4: Simplify right side
    315,873x = 455,843,726,244
  5. Step 5: Solve for x
    x = 455,843,726,244/315,873
  6. Step 6: Final answer
    x = 1,443,123.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.