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Finding the Third Proportional to 408,530.25 and 873,139.50

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Solution

The third proportional to 408,530.25 and 873,139.50 is: 1,866,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,530.25 : 873,139.50 = 873,139.50 : x
  2. Step 2: Convert to fraction form
    408,530.25/873,139.50 = 873,139.50/x
  3. Step 3: Cross multiply
    408,530.25x = 873,139.50 × 873,139.50
  4. Step 4: Simplify right side
    408,530.25x = 762,372,586,460.25
  5. Step 5: Solve for x
    x = 762,372,586,460.25/408,530.25
  6. Step 6: Final answer
    x = 1,866,134.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.