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Finding the Third Proportional to 324,425.31 and 698,770.53

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Solution

The third proportional to 324,425.31 and 698,770.53 is: 1,505,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,425.31 : 698,770.53 = 698,770.53 : x
  2. Step 2: Convert to fraction form
    324,425.31/698,770.53 = 698,770.53/x
  3. Step 3: Cross multiply
    324,425.31x = 698,770.53 × 698,770.53
  4. Step 4: Simplify right side
    324,425.31x = 488,280,249,543.04
  5. Step 5: Solve for x
    x = 488,280,249,543.04/324,425.31
  6. Step 6: Final answer
    x = 1,505,062.13

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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.