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Finding the Third Proportional to 328,947 and 683,751

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Solution

The third proportional to 328,947 and 683,751 is: 1,421,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,947 : 683,751 = 683,751 : x
  2. Step 2: Convert to fraction form
    328,947/683,751 = 683,751/x
  3. Step 3: Cross multiply
    328,947x = 683,751 × 683,751
  4. Step 4: Simplify right side
    328,947x = 467,515,430,001
  5. Step 5: Solve for x
    x = 467,515,430,001/328,947
  6. Step 6: Final answer
    x = 1,421,248.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.