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Finding the Third Proportional to 275,258 and 425,410

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Solution

The third proportional to 275,258 and 425,410 is: 657,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,258 : 425,410 = 425,410 : x
  2. Step 2: Convert to fraction form
    275,258/425,410 = 425,410/x
  3. Step 3: Cross multiply
    275,258x = 425,410 × 425,410
  4. Step 4: Simplify right side
    275,258x = 180,973,668,100
  5. Step 5: Solve for x
    x = 180,973,668,100/275,258
  6. Step 6: Final answer
    x = 657,469.24

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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.