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Finding the Third Proportional to 256,064 and 368,869

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Solution

The third proportional to 256,064 and 368,869 is: 531,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064 : 368,869 = 368,869 : x
  2. Step 2: Convert to fraction form
    256,064/368,869 = 368,869/x
  3. Step 3: Cross multiply
    256,064x = 368,869 × 368,869
  4. Step 4: Simplify right side
    256,064x = 136,064,339,161
  5. Step 5: Solve for x
    x = 136,064,339,161/256,064
  6. Step 6: Final answer
    x = 531,368.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.