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Finding the Third Proportional to 780,930.75 and 1,179,716.63

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Solution

The third proportional to 780,930.75 and 1,179,716.63 is: 1,782,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,930.75 : 1,179,716.63 = 1,179,716.63 : x
  2. Step 2: Convert to fraction form
    780,930.75/1,179,716.63 = 1,179,716.63/x
  3. Step 3: Cross multiply
    780,930.75x = 1,179,716.63 × 1,179,716.63
  4. Step 4: Simplify right side
    780,930.75x = 1,391,731,315,301.39
  5. Step 5: Solve for x
    x = 1,391,731,315,301.39/780,930.75
  6. Step 6: Final answer
    x = 1,782,144.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.