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Finding the Third Proportional to 339,819.75 and 539,861.63

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Solution

The third proportional to 339,819.75 and 539,861.63 is: 857,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,819.75 : 539,861.63 = 539,861.63 : x
  2. Step 2: Convert to fraction form
    339,819.75/539,861.63 = 539,861.63/x
  3. Step 3: Cross multiply
    339,819.75x = 539,861.63 × 539,861.63
  4. Step 4: Simplify right side
    339,819.75x = 291,450,574,147.64
  5. Step 5: Solve for x
    x = 291,450,574,147.64/339,819.75
  6. Step 6: Final answer
    x = 857,662.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.