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Finding the Third Proportional to 780,932.50 and 1,179,720

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Solution

The third proportional to 780,932.50 and 1,179,720 is: 1,782,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,932.50 : 1,179,720 = 1,179,720 : x
  2. Step 2: Convert to fraction form
    780,932.50/1,179,720 = 1,179,720/x
  3. Step 3: Cross multiply
    780,932.50x = 1,179,720 × 1,179,720
  4. Step 4: Simplify right side
    780,932.50x = 1,391,739,278,400
  5. Step 5: Solve for x
    x = 1,391,739,278,400/780,932.50
  6. Step 6: Final answer
    x = 1,782,150.54

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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.