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Finding the Third Proportional to 273,909 and 411,511.50

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Solution

The third proportional to 273,909 and 411,511.50 is: 618,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,909 : 411,511.50 = 411,511.50 : x
  2. Step 2: Convert to fraction form
    273,909/411,511.50 = 411,511.50/x
  3. Step 3: Cross multiply
    273,909x = 411,511.50 × 411,511.50
  4. Step 4: Simplify right side
    273,909x = 169,341,714,632.25
  5. Step 5: Solve for x
    x = 169,341,714,632.25/273,909
  6. Step 6: Final answer
    x = 618,240.78

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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.