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Finding the Third Proportional to 407,232 and 622,944

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Solution

The third proportional to 407,232 and 622,944 is: 952,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,232 : 622,944 = 622,944 : x
  2. Step 2: Convert to fraction form
    407,232/622,944 = 622,944/x
  3. Step 3: Cross multiply
    407,232x = 622,944 × 622,944
  4. Step 4: Simplify right side
    407,232x = 388,059,227,136
  5. Step 5: Solve for x
    x = 388,059,227,136/407,232
  6. Step 6: Final answer
    x = 952,919.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.