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Finding the Third Proportional to 275,513 and 425,552

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Solution

The third proportional to 275,513 and 425,552 is: 657,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,513 : 425,552 = 425,552 : x
  2. Step 2: Convert to fraction form
    275,513/425,552 = 425,552/x
  3. Step 3: Cross multiply
    275,513x = 425,552 × 425,552
  4. Step 4: Simplify right side
    275,513x = 181,094,504,704
  5. Step 5: Solve for x
    x = 181,094,504,704/275,513
  6. Step 6: Final answer
    x = 657,299.31

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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.