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Finding the Third Proportional to 324,429 and 698,779

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Solution

The third proportional to 324,429 and 698,779 is: 1,505,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,429 : 698,779 = 698,779 : x
  2. Step 2: Convert to fraction form
    324,429/698,779 = 698,779/x
  3. Step 3: Cross multiply
    324,429x = 698,779 × 698,779
  4. Step 4: Simplify right side
    324,429x = 488,292,090,841
  5. Step 5: Solve for x
    x = 488,292,090,841/324,429
  6. Step 6: Final answer
    x = 1,505,081.52

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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.