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Finding the Third Proportional to 399,004.31 and 548,673.75

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Solution

The third proportional to 399,004.31 and 548,673.75 is: 754,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,004.31 : 548,673.75 = 548,673.75 : x
  2. Step 2: Convert to fraction form
    399,004.31/548,673.75 = 548,673.75/x
  3. Step 3: Cross multiply
    399,004.31x = 548,673.75 × 548,673.75
  4. Step 4: Simplify right side
    399,004.31x = 301,042,883,939.06
  5. Step 5: Solve for x
    x = 301,042,883,939.06/399,004.31
  6. Step 6: Final answer
    x = 754,485.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.