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Finding the Third Proportional to 279,631,994 and 434,170,551

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Solution

The third proportional to 279,631,994 and 434,170,551 is: 674,114,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,631,994 : 434,170,551 = 434,170,551 : x
  2. Step 2: Convert to fraction form
    279,631,994/434,170,551 = 434,170,551/x
  3. Step 3: Cross multiply
    279,631,994x = 434,170,551 × 434,170,551
  4. Step 4: Simplify right side
    279,631,994x = 188,504,067,355,643,616
  5. Step 5: Solve for x
    x = 188,504,067,355,643,616/279,631,994
  6. Step 6: Final answer
    x = 674,114,805.89

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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.