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Finding the Third Proportional to 431,556.75 and 676,991.25

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Solution

The third proportional to 431,556.75 and 676,991.25 is: 1,062,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,556.75 : 676,991.25 = 676,991.25 : x
  2. Step 2: Convert to fraction form
    431,556.75/676,991.25 = 676,991.25/x
  3. Step 3: Cross multiply
    431,556.75x = 676,991.25 × 676,991.25
  4. Step 4: Simplify right side
    431,556.75x = 458,317,152,576.56
  5. Step 5: Solve for x
    x = 458,317,152,576.56/431,556.75
  6. Step 6: Final answer
    x = 1,062,009.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.