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Finding the Third Proportional to 769,448 and 1,320,242.50

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Solution

The third proportional to 769,448 and 1,320,242.50 is: 2,265,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,448 : 1,320,242.50 = 1,320,242.50 : x
  2. Step 2: Convert to fraction form
    769,448/1,320,242.50 = 1,320,242.50/x
  3. Step 3: Cross multiply
    769,448x = 1,320,242.50 × 1,320,242.50
  4. Step 4: Simplify right side
    769,448x = 1,743,040,258,806.25
  5. Step 5: Solve for x
    x = 1,743,040,258,806.25/769,448
  6. Step 6: Final answer
    x = 2,265,312.61

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.