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Finding the Third Proportional to 283,246.40 and 579,579.21

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Solution

The third proportional to 283,246.40 and 579,579.21 is: 1,185,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,246.40 : 579,579.21 = 579,579.21 : x
  2. Step 2: Convert to fraction form
    283,246.40/579,579.21 = 579,579.21/x
  3. Step 3: Cross multiply
    283,246.40x = 579,579.21 × 579,579.21
  4. Step 4: Simplify right side
    283,246.40x = 335,912,054,958.99
  5. Step 5: Solve for x
    x = 335,912,054,958.99/283,246.40
  6. Step 6: Final answer
    x = 1,185,935.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.