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Finding the Third Proportional to 284,889 and 622,712

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Solution

The third proportional to 284,889 and 622,712 is: 1,361,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,889 : 622,712 = 622,712 : x
  2. Step 2: Convert to fraction form
    284,889/622,712 = 622,712/x
  3. Step 3: Cross multiply
    284,889x = 622,712 × 622,712
  4. Step 4: Simplify right side
    284,889x = 387,770,234,944
  5. Step 5: Solve for x
    x = 387,770,234,944/284,889
  6. Step 6: Final answer
    x = 1,361,127.44

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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.