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Finding the Third Proportional to 320,452.88 and 683,795.25

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Solution

The third proportional to 320,452.88 and 683,795.25 is: 1,459,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,452.88 : 683,795.25 = 683,795.25 : x
  2. Step 2: Convert to fraction form
    320,452.88/683,795.25 = 683,795.25/x
  3. Step 3: Cross multiply
    320,452.88x = 683,795.25 × 683,795.25
  4. Step 4: Simplify right side
    320,452.88x = 467,575,943,922.56
  5. Step 5: Solve for x
    x = 467,575,943,922.56/320,452.88
  6. Step 6: Final answer
    x = 1,459,109.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.