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Finding the Third Proportional to 275,456 and 425,336

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Solution

The third proportional to 275,456 and 425,336 is: 656,768.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456 : 425,336 = 425,336 : x
  2. Step 2: Convert to fraction form
    275,456/425,336 = 425,336/x
  3. Step 3: Cross multiply
    275,456x = 425,336 × 425,336
  4. Step 4: Simplify right side
    275,456x = 180,910,712,896
  5. Step 5: Solve for x
    x = 180,910,712,896/275,456
  6. Step 6: Final answer
    x = 656,768.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.