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Finding the Third Proportional to 342,819 and 738,321.75

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Solution

The third proportional to 342,819 and 738,321.75 is: 1,590,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,819 : 738,321.75 = 738,321.75 : x
  2. Step 2: Convert to fraction form
    342,819/738,321.75 = 738,321.75/x
  3. Step 3: Cross multiply
    342,819x = 738,321.75 × 738,321.75
  4. Step 4: Simplify right side
    342,819x = 545,119,006,523.06
  5. Step 5: Solve for x
    x = 545,119,006,523.06/342,819
  6. Step 6: Final answer
    x = 1,590,107.34

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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.