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Finding the Third Proportional to 1,203,321 and 1,805,218.50

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Solution

The third proportional to 1,203,321 and 1,805,218.50 is: 2,708,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,321 : 1,805,218.50 = 1,805,218.50 : x
  2. Step 2: Convert to fraction form
    1,203,321/1,805,218.50 = 1,805,218.50/x
  3. Step 3: Cross multiply
    1,203,321x = 1,805,218.50 × 1,805,218.50
  4. Step 4: Simplify right side
    1,203,321x = 3,258,813,832,742.25
  5. Step 5: Solve for x
    x = 3,258,813,832,742.25/1,203,321
  6. Step 6: Final answer
    x = 2,708,183.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.