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Finding the Third Proportional to 224,362,100 and 344,647,656

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Solution

The third proportional to 224,362,100 and 344,647,656 is: 529,420,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,362,100 : 344,647,656 = 344,647,656 : x
  2. Step 2: Convert to fraction form
    224,362,100/344,647,656 = 344,647,656/x
  3. Step 3: Cross multiply
    224,362,100x = 344,647,656 × 344,647,656
  4. Step 4: Simplify right side
    224,362,100x = 118,782,006,786,294,336
  5. Step 5: Solve for x
    x = 118,782,006,786,294,336/224,362,100
  6. Step 6: Final answer
    x = 529,420,997.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.