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Finding the Third Proportional to 1,402,203 and 2,100,928.50

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Solution

The third proportional to 1,402,203 and 2,100,928.50 is: 3,147,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,203 : 2,100,928.50 = 2,100,928.50 : x
  2. Step 2: Convert to fraction form
    1,402,203/2,100,928.50 = 2,100,928.50/x
  3. Step 3: Cross multiply
    1,402,203x = 2,100,928.50 × 2,100,928.50
  4. Step 4: Simplify right side
    1,402,203x = 4,413,900,562,112.25
  5. Step 5: Solve for x
    x = 4,413,900,562,112.25/1,402,203
  6. Step 6: Final answer
    x = 3,147,832.78

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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.