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Finding the Third Proportional to 431,736.75 and 693,272.25

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Solution

The third proportional to 431,736.75 and 693,272.25 is: 1,113,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,736.75 : 693,272.25 = 693,272.25 : x
  2. Step 2: Convert to fraction form
    431,736.75/693,272.25 = 693,272.25/x
  3. Step 3: Cross multiply
    431,736.75x = 693,272.25 × 693,272.25
  4. Step 4: Simplify right side
    431,736.75x = 480,626,412,620.06
  5. Step 5: Solve for x
    x = 480,626,412,620.06/431,736.75
  6. Step 6: Final answer
    x = 1,113,239.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.