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Finding the Third Proportional to 1,268,469 and 1,739,407.50

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Solution

The third proportional to 1,268,469 and 1,739,407.50 is: 2,385,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,469 : 1,739,407.50 = 1,739,407.50 : x
  2. Step 2: Convert to fraction form
    1,268,469/1,739,407.50 = 1,739,407.50/x
  3. Step 3: Cross multiply
    1,268,469x = 1,739,407.50 × 1,739,407.50
  4. Step 4: Simplify right side
    1,268,469x = 3,025,538,451,056.25
  5. Step 5: Solve for x
    x = 3,025,538,451,056.25/1,268,469
  6. Step 6: Final answer
    x = 2,385,189.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.