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Finding the Third Proportional to 306,806 and 672,652

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Solution

The third proportional to 306,806 and 672,652 is: 1,474,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,806 : 672,652 = 672,652 : x
  2. Step 2: Convert to fraction form
    306,806/672,652 = 672,652/x
  3. Step 3: Cross multiply
    306,806x = 672,652 × 672,652
  4. Step 4: Simplify right side
    306,806x = 452,460,713,104
  5. Step 5: Solve for x
    x = 452,460,713,104/306,806
  6. Step 6: Final answer
    x = 1,474,745.32

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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.