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Finding the Third Proportional to 275,262 and 425,420

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Solution

The third proportional to 275,262 and 425,420 is: 657,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,262 : 425,420 = 425,420 : x
  2. Step 2: Convert to fraction form
    275,262/425,420 = 425,420/x
  3. Step 3: Cross multiply
    275,262x = 425,420 × 425,420
  4. Step 4: Simplify right side
    275,262x = 180,982,176,400
  5. Step 5: Solve for x
    x = 180,982,176,400/275,262
  6. Step 6: Final answer
    x = 657,490.60

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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.