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Finding the Third Proportional to 274,043,574 and 639,456,930

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Solution

The third proportional to 274,043,574 and 639,456,930 is: 1,492,117,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043,574 : 639,456,930 = 639,456,930 : x
  2. Step 2: Convert to fraction form
    274,043,574/639,456,930 = 639,456,930/x
  3. Step 3: Cross multiply
    274,043,574x = 639,456,930 × 639,456,930
  4. Step 4: Simplify right side
    274,043,574x = 408,905,165,325,024,896
  5. Step 5: Solve for x
    x = 408,905,165,325,024,896/274,043,574
  6. Step 6: Final answer
    x = 1,492,117,327.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.