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Finding the Third Proportional to 256,297.50 and 388,273.50

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Solution

The third proportional to 256,297.50 and 388,273.50 is: 588,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,297.50 : 388,273.50 = 388,273.50 : x
  2. Step 2: Convert to fraction form
    256,297.50/388,273.50 = 388,273.50/x
  3. Step 3: Cross multiply
    256,297.50x = 388,273.50 × 388,273.50
  4. Step 4: Simplify right side
    256,297.50x = 150,756,310,802.25
  5. Step 5: Solve for x
    x = 150,756,310,802.25/256,297.50
  6. Step 6: Final answer
    x = 588,208.28

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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.