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Finding the Third Proportional to 274,140 and 408,938

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Solution

The third proportional to 274,140 and 408,938 is: 610,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,140 : 408,938 = 408,938 : x
  2. Step 2: Convert to fraction form
    274,140/408,938 = 408,938/x
  3. Step 3: Cross multiply
    274,140x = 408,938 × 408,938
  4. Step 4: Simplify right side
    274,140x = 167,230,287,844
  5. Step 5: Solve for x
    x = 167,230,287,844/274,140
  6. Step 6: Final answer
    x = 610,017.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.