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Finding the Third Proportional to 313,150 and 698,014

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Solution

The third proportional to 313,150 and 698,014 is: 1,555,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,150 : 698,014 = 698,014 : x
  2. Step 2: Convert to fraction form
    313,150/698,014 = 698,014/x
  3. Step 3: Cross multiply
    313,150x = 698,014 × 698,014
  4. Step 4: Simplify right side
    313,150x = 487,223,544,196
  5. Step 5: Solve for x
    x = 487,223,544,196/313,150
  6. Step 6: Final answer
    x = 1,555,879.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.