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Finding the Third Proportional to 256,346 and 388,336

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Solution

The third proportional to 256,346 and 388,336 is: 588,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,346 : 388,336 = 388,336 : x
  2. Step 2: Convert to fraction form
    256,346/388,336 = 388,336/x
  3. Step 3: Cross multiply
    256,346x = 388,336 × 388,336
  4. Step 4: Simplify right side
    256,346x = 150,804,848,896
  5. Step 5: Solve for x
    x = 150,804,848,896/256,346
  6. Step 6: Final answer
    x = 588,286.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.