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Finding the Third Proportional to 275,254 and 425,407

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Solution

The third proportional to 275,254 and 425,407 is: 657,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,254 : 425,407 = 425,407 : x
  2. Step 2: Convert to fraction form
    275,254/425,407 = 425,407/x
  3. Step 3: Cross multiply
    275,254x = 425,407 × 425,407
  4. Step 4: Simplify right side
    275,254x = 180,971,115,649
  5. Step 5: Solve for x
    x = 180,971,115,649/275,254
  6. Step 6: Final answer
    x = 657,469.52

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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.