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Finding the Third Proportional to 262,722 and 407,637

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Solution

The third proportional to 262,722 and 407,637 is: 632,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,722 : 407,637 = 407,637 : x
  2. Step 2: Convert to fraction form
    262,722/407,637 = 407,637/x
  3. Step 3: Cross multiply
    262,722x = 407,637 × 407,637
  4. Step 4: Simplify right side
    262,722x = 166,167,923,769
  5. Step 5: Solve for x
    x = 166,167,923,769/262,722
  6. Step 6: Final answer
    x = 632,485.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.