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Finding the Third Proportional to 306,722 and 449,769

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Solution

The third proportional to 306,722 and 449,769 is: 659,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,722 : 449,769 = 449,769 : x
  2. Step 2: Convert to fraction form
    306,722/449,769 = 449,769/x
  3. Step 3: Cross multiply
    306,722x = 449,769 × 449,769
  4. Step 4: Simplify right side
    306,722x = 202,292,153,361
  5. Step 5: Solve for x
    x = 202,292,153,361/306,722
  6. Step 6: Final answer
    x = 659,529.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.