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Finding the Third Proportional to 256,512 and 349,440

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Solution

The third proportional to 256,512 and 349,440 is: 476,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,512 : 349,440 = 349,440 : x
  2. Step 2: Convert to fraction form
    256,512/349,440 = 349,440/x
  3. Step 3: Cross multiply
    256,512x = 349,440 × 349,440
  4. Step 4: Simplify right side
    256,512x = 122,108,313,600
  5. Step 5: Solve for x
    x = 122,108,313,600/256,512
  6. Step 6: Final answer
    x = 476,033.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.