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Finding the Third Proportional to 275,256 and 425,412

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Solution

The third proportional to 275,256 and 425,412 is: 657,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,256 : 425,412 = 425,412 : x
  2. Step 2: Convert to fraction form
    275,256/425,412 = 425,412/x
  3. Step 3: Cross multiply
    275,256x = 425,412 × 425,412
  4. Step 4: Simplify right side
    275,256x = 180,975,369,744
  5. Step 5: Solve for x
    x = 180,975,369,744/275,256
  6. Step 6: Final answer
    x = 657,480.20

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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.