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Finding the Third Proportional to 256,073 and 368,857

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Solution

The third proportional to 256,073 and 368,857 is: 531,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,073 : 368,857 = 368,857 : x
  2. Step 2: Convert to fraction form
    256,073/368,857 = 368,857/x
  3. Step 3: Cross multiply
    256,073x = 368,857 × 368,857
  4. Step 4: Simplify right side
    256,073x = 136,055,486,449
  5. Step 5: Solve for x
    x = 136,055,486,449/256,073
  6. Step 6: Final answer
    x = 531,315.24

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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.