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Finding the Third Proportional to 323,339 and 680,174

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Solution

The third proportional to 323,339 and 680,174 is: 1,430,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,339 : 680,174 = 680,174 : x
  2. Step 2: Convert to fraction form
    323,339/680,174 = 680,174/x
  3. Step 3: Cross multiply
    323,339x = 680,174 × 680,174
  4. Step 4: Simplify right side
    323,339x = 462,636,670,276
  5. Step 5: Solve for x
    x = 462,636,670,276/323,339
  6. Step 6: Final answer
    x = 1,430,809.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.