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Finding the Third Proportional to 324,457 and 698,830

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Solution

The third proportional to 324,457 and 698,830 is: 1,505,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,457 : 698,830 = 698,830 : x
  2. Step 2: Convert to fraction form
    324,457/698,830 = 698,830/x
  3. Step 3: Cross multiply
    324,457x = 698,830 × 698,830
  4. Step 4: Simplify right side
    324,457x = 488,363,368,900
  5. Step 5: Solve for x
    x = 488,363,368,900/324,457
  6. Step 6: Final answer
    x = 1,505,171.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.