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Finding the Third Proportional to 275,253 and 425,404

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Solution

The third proportional to 275,253 and 425,404 is: 657,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,253 : 425,404 = 425,404 : x
  2. Step 2: Convert to fraction form
    275,253/425,404 = 425,404/x
  3. Step 3: Cross multiply
    275,253x = 425,404 × 425,404
  4. Step 4: Simplify right side
    275,253x = 180,968,563,216
  5. Step 5: Solve for x
    x = 180,968,563,216/275,253
  6. Step 6: Final answer
    x = 657,462.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.