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Finding the Third Proportional to 344,314,108 and 737,749,142

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Solution

The third proportional to 344,314,108 and 737,749,142 is: 1,580,747,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,108 : 737,749,142 = 737,749,142 : x
  2. Step 2: Convert to fraction form
    344,314,108/737,749,142 = 737,749,142/x
  3. Step 3: Cross multiply
    344,314,108x = 737,749,142 × 737,749,142
  4. Step 4: Simplify right side
    344,314,108x = 544,273,796,521,736,192
  5. Step 5: Solve for x
    x = 544,273,796,521,736,192/344,314,108
  6. Step 6: Final answer
    x = 1,580,747,880.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.