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Finding the Third Proportional to 305,914 and 670,916

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Solution

The third proportional to 305,914 and 670,916 is: 1,471,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914 : 670,916 = 670,916 : x
  2. Step 2: Convert to fraction form
    305,914/670,916 = 670,916/x
  3. Step 3: Cross multiply
    305,914x = 670,916 × 670,916
  4. Step 4: Simplify right side
    305,914x = 450,128,279,056
  5. Step 5: Solve for x
    x = 450,128,279,056/305,914
  6. Step 6: Final answer
    x = 1,471,420.98

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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.