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Finding the Third Proportional to 315,002 and 691,245

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Solution

The third proportional to 315,002 and 691,245 is: 1,516,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,002 : 691,245 = 691,245 : x
  2. Step 2: Convert to fraction form
    315,002/691,245 = 691,245/x
  3. Step 3: Cross multiply
    315,002x = 691,245 × 691,245
  4. Step 4: Simplify right side
    315,002x = 477,819,650,025
  5. Step 5: Solve for x
    x = 477,819,650,025/315,002
  6. Step 6: Final answer
    x = 1,516,878.15

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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.