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Finding the Third Proportional to 275,219 and 407,725

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Solution

The third proportional to 275,219 and 407,725 is: 604,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,219 : 407,725 = 407,725 : x
  2. Step 2: Convert to fraction form
    275,219/407,725 = 407,725/x
  3. Step 3: Cross multiply
    275,219x = 407,725 × 407,725
  4. Step 4: Simplify right side
    275,219x = 166,239,675,625
  5. Step 5: Solve for x
    x = 166,239,675,625/275,219
  6. Step 6: Final answer
    x = 604,026.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.