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Finding the Third Proportional to 342,153,843 and 494,353,324.50

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Solution

The third proportional to 342,153,843 and 494,353,324.50 is: 714,255,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153,843 : 494,353,324.50 = 494,353,324.50 : x
  2. Step 2: Convert to fraction form
    342,153,843/494,353,324.50 = 494,353,324.50/x
  3. Step 3: Cross multiply
    342,153,843x = 494,353,324.50 × 494,353,324.50
  4. Step 4: Simplify right side
    342,153,843x = 244,385,209,444,202,304
  5. Step 5: Solve for x
    x = 244,385,209,444,202,304/342,153,843
  6. Step 6: Final answer
    x = 714,255,339.94

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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.