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Finding the Third Proportional to 275,243 and 425,390

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Solution

The third proportional to 275,243 and 425,390 is: 657,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,243 : 425,390 = 425,390 : x
  2. Step 2: Convert to fraction form
    275,243/425,390 = 425,390/x
  3. Step 3: Cross multiply
    275,243x = 425,390 × 425,390
  4. Step 4: Simplify right side
    275,243x = 180,956,652,100
  5. Step 5: Solve for x
    x = 180,956,652,100/275,243
  6. Step 6: Final answer
    x = 657,443.25

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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.