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Finding the Third Proportional to 305,673 and 670,395

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Solution

The third proportional to 305,673 and 670,395 is: 1,470,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,673 : 670,395 = 670,395 : x
  2. Step 2: Convert to fraction form
    305,673/670,395 = 670,395/x
  3. Step 3: Cross multiply
    305,673x = 670,395 × 670,395
  4. Step 4: Simplify right side
    305,673x = 449,429,456,025
  5. Step 5: Solve for x
    x = 449,429,456,025/305,673
  6. Step 6: Final answer
    x = 1,470,294.91

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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.