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Finding the Third Proportional to 353,811 and 740,427

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Solution

The third proportional to 353,811 and 740,427 is: 1,549,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,811 : 740,427 = 740,427 : x
  2. Step 2: Convert to fraction form
    353,811/740,427 = 740,427/x
  3. Step 3: Cross multiply
    353,811x = 740,427 × 740,427
  4. Step 4: Simplify right side
    353,811x = 548,232,142,329
  5. Step 5: Solve for x
    x = 548,232,142,329/353,811
  6. Step 6: Final answer
    x = 1,549,505.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.