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Finding the Third Proportional to 312,774 and 669,834

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Solution

The third proportional to 312,774 and 669,834 is: 1,434,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,774 : 669,834 = 669,834 : x
  2. Step 2: Convert to fraction form
    312,774/669,834 = 669,834/x
  3. Step 3: Cross multiply
    312,774x = 669,834 × 669,834
  4. Step 4: Simplify right side
    312,774x = 448,677,587,556
  5. Step 5: Solve for x
    x = 448,677,587,556/312,774
  6. Step 6: Final answer
    x = 1,434,510.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.