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Finding the Third Proportional to 275,507 and 425,543

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Solution

The third proportional to 275,507 and 425,543 is: 657,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,507 : 425,543 = 425,543 : x
  2. Step 2: Convert to fraction form
    275,507/425,543 = 425,543/x
  3. Step 3: Cross multiply
    275,507x = 425,543 × 425,543
  4. Step 4: Simplify right side
    275,507x = 181,086,844,849
  5. Step 5: Solve for x
    x = 181,086,844,849/275,507
  6. Step 6: Final answer
    x = 657,285.82

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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.