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Finding the Third Proportional to 342,821 and 738,326

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Solution

The third proportional to 342,821 and 738,326 is: 1,590,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,821 : 738,326 = 738,326 : x
  2. Step 2: Convert to fraction form
    342,821/738,326 = 738,326/x
  3. Step 3: Cross multiply
    342,821x = 738,326 × 738,326
  4. Step 4: Simplify right side
    342,821x = 545,125,282,276
  5. Step 5: Solve for x
    x = 545,125,282,276/342,821
  6. Step 6: Final answer
    x = 1,590,116.36

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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.