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Finding the Third Proportional to 315,052 and 691,343

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Solution

The third proportional to 315,052 and 691,343 is: 1,517,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,052 : 691,343 = 691,343 : x
  2. Step 2: Convert to fraction form
    315,052/691,343 = 691,343/x
  3. Step 3: Cross multiply
    315,052x = 691,343 × 691,343
  4. Step 4: Simplify right side
    315,052x = 477,955,143,649
  5. Step 5: Solve for x
    x = 477,955,143,649/315,052
  6. Step 6: Final answer
    x = 1,517,067.48

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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.