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Finding the Third Proportional to 276,949.13 and 433,891.69

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Solution

The third proportional to 276,949.13 and 433,891.69 is: 679,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,949.13 : 433,891.69 = 433,891.69 : x
  2. Step 2: Convert to fraction form
    276,949.13/433,891.69 = 433,891.69/x
  3. Step 3: Cross multiply
    276,949.13x = 433,891.69 × 433,891.69
  4. Step 4: Simplify right side
    276,949.13x = 188,261,996,481.60
  5. Step 5: Solve for x
    x = 188,261,996,481.60/276,949.13
  6. Step 6: Final answer
    x = 679,771.05

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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.