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Finding the Third Proportional to 275,277 and 407,798

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Solution

The third proportional to 275,277 and 407,798 is: 604,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,277 : 407,798 = 407,798 : x
  2. Step 2: Convert to fraction form
    275,277/407,798 = 407,798/x
  3. Step 3: Cross multiply
    275,277x = 407,798 × 407,798
  4. Step 4: Simplify right side
    275,277x = 166,299,208,804
  5. Step 5: Solve for x
    x = 166,299,208,804/275,277
  6. Step 6: Final answer
    x = 604,115.89

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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.