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Finding the Third Proportional to 728,082.25 and 1,139,657.75

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Solution

The third proportional to 728,082.25 and 1,139,657.75 is: 1,783,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,082.25 : 1,139,657.75 = 1,139,657.75 : x
  2. Step 2: Convert to fraction form
    728,082.25/1,139,657.75 = 1,139,657.75/x
  3. Step 3: Cross multiply
    728,082.25x = 1,139,657.75 × 1,139,657.75
  4. Step 4: Simplify right side
    728,082.25x = 1,298,819,787,135.06
  5. Step 5: Solve for x
    x = 1,298,819,787,135.06/728,082.25
  6. Step 6: Final answer
    x = 1,783,891.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.