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Finding the Third Proportional to 780,931.69 and 1,179,718.31

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Solution

The third proportional to 780,931.69 and 1,179,718.31 is: 1,782,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,931.69 : 1,179,718.31 = 1,179,718.31 : x
  2. Step 2: Convert to fraction form
    780,931.69/1,179,718.31 = 1,179,718.31/x
  3. Step 3: Cross multiply
    780,931.69x = 1,179,718.31 × 1,179,718.31
  4. Step 4: Simplify right side
    780,931.69x = 1,391,735,296,847.85
  5. Step 5: Solve for x
    x = 1,391,735,296,847.85/780,931.69
  6. Step 6: Final answer
    x = 1,782,147.30

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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.