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Finding the Third Proportional to 409,769 and 622,035

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Solution

The third proportional to 409,769 and 622,035 is: 944,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,769 : 622,035 = 622,035 : x
  2. Step 2: Convert to fraction form
    409,769/622,035 = 622,035/x
  3. Step 3: Cross multiply
    409,769x = 622,035 × 622,035
  4. Step 4: Simplify right side
    409,769x = 386,927,541,225
  5. Step 5: Solve for x
    x = 386,927,541,225/409,769
  6. Step 6: Final answer
    x = 944,257.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.