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Finding the Third Proportional to 543,109.50 and 759,660.75

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Solution

The third proportional to 543,109.50 and 759,660.75 is: 1,062,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,109.50 : 759,660.75 = 759,660.75 : x
  2. Step 2: Convert to fraction form
    543,109.50/759,660.75 = 759,660.75/x
  3. Step 3: Cross multiply
    543,109.50x = 759,660.75 × 759,660.75
  4. Step 4: Simplify right side
    543,109.50x = 577,084,455,090.56
  5. Step 5: Solve for x
    x = 577,084,455,090.56/543,109.50
  6. Step 6: Final answer
    x = 1,062,556.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.