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Finding the Third Proportional to 342,153,812 and 494,353,278

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Solution

The third proportional to 342,153,812 and 494,353,278 is: 714,255,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153,812 : 494,353,278 = 494,353,278 : x
  2. Step 2: Convert to fraction form
    342,153,812/494,353,278 = 494,353,278/x
  3. Step 3: Cross multiply
    342,153,812x = 494,353,278 × 494,353,278
  4. Step 4: Simplify right side
    342,153,812x = 244,385,163,469,345,280
  5. Step 5: Solve for x
    x = 244,385,163,469,345,280/342,153,812
  6. Step 6: Final answer
    x = 714,255,270.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.