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Finding the Third Proportional to 306,942 and 670,812

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Solution

The third proportional to 306,942 and 670,812 is: 1,466,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,942 : 670,812 = 670,812 : x
  2. Step 2: Convert to fraction form
    306,942/670,812 = 670,812/x
  3. Step 3: Cross multiply
    306,942x = 670,812 × 670,812
  4. Step 4: Simplify right side
    306,942x = 449,988,739,344
  5. Step 5: Solve for x
    x = 449,988,739,344/306,942
  6. Step 6: Final answer
    x = 1,466,038.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.