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Finding the Third Proportional to 312,380 and 669,960

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Solution

The third proportional to 312,380 and 669,960 is: 1,436,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,380 : 669,960 = 669,960 : x
  2. Step 2: Convert to fraction form
    312,380/669,960 = 669,960/x
  3. Step 3: Cross multiply
    312,380x = 669,960 × 669,960
  4. Step 4: Simplify right side
    312,380x = 448,846,401,600
  5. Step 5: Solve for x
    x = 448,846,401,600/312,380
  6. Step 6: Final answer
    x = 1,436,860.24

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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.