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Finding the Third Proportional to 256,352.50 and 561,912

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Solution

The third proportional to 256,352.50 and 561,912 is: 1,231,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,352.50 : 561,912 = 561,912 : x
  2. Step 2: Convert to fraction form
    256,352.50/561,912 = 561,912/x
  3. Step 3: Cross multiply
    256,352.50x = 561,912 × 561,912
  4. Step 4: Simplify right side
    256,352.50x = 315,745,095,744
  5. Step 5: Solve for x
    x = 315,745,095,744/256,352.50
  6. Step 6: Final answer
    x = 1,231,683.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.