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Finding the Third Proportional to 258,801.75 and 397,242.56

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Solution

The third proportional to 258,801.75 and 397,242.56 is: 609,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,801.75 : 397,242.56 = 397,242.56 : x
  2. Step 2: Convert to fraction form
    258,801.75/397,242.56 = 397,242.56/x
  3. Step 3: Cross multiply
    258,801.75x = 397,242.56 × 397,242.56
  4. Step 4: Simplify right side
    258,801.75x = 157,801,653,461.57
  5. Step 5: Solve for x
    x = 157,801,653,461.57/258,801.75
  6. Step 6: Final answer
    x = 609,739.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.