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Finding the Third Proportional to 320,999.63 and 759,128.63

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Solution

The third proportional to 320,999.63 and 759,128.63 is: 1,795,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,999.63 : 759,128.63 = 759,128.63 : x
  2. Step 2: Convert to fraction form
    320,999.63/759,128.63 = 759,128.63/x
  3. Step 3: Cross multiply
    320,999.63x = 759,128.63 × 759,128.63
  4. Step 4: Simplify right side
    320,999.63x = 576,276,269,294.39
  5. Step 5: Solve for x
    x = 576,276,269,294.39/320,999.63
  6. Step 6: Final answer
    x = 1,795,255.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.