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Finding the Third Proportional to 316,122 and 691,257

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Solution

The third proportional to 316,122 and 691,257 is: 1,511,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,122 : 691,257 = 691,257 : x
  2. Step 2: Convert to fraction form
    316,122/691,257 = 691,257/x
  3. Step 3: Cross multiply
    316,122x = 691,257 × 691,257
  4. Step 4: Simplify right side
    316,122x = 477,836,240,049
  5. Step 5: Solve for x
    x = 477,836,240,049/316,122
  6. Step 6: Final answer
    x = 1,511,556.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.