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Finding the Third Proportional to 313,145 and 698,006

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Solution

The third proportional to 313,145 and 698,006 is: 1,555,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,145 : 698,006 = 698,006 : x
  2. Step 2: Convert to fraction form
    313,145/698,006 = 698,006/x
  3. Step 3: Cross multiply
    313,145x = 698,006 × 698,006
  4. Step 4: Simplify right side
    313,145x = 487,212,376,036
  5. Step 5: Solve for x
    x = 487,212,376,036/313,145
  6. Step 6: Final answer
    x = 1,555,868.29

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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.