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Finding the Third Proportional to 277,125,616 and 387,437,942

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Solution

The third proportional to 277,125,616 and 387,437,942 is: 541,661,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,125,616 : 387,437,942 = 387,437,942 : x
  2. Step 2: Convert to fraction form
    277,125,616/387,437,942 = 387,437,942/x
  3. Step 3: Cross multiply
    277,125,616x = 387,437,942 × 387,437,942
  4. Step 4: Simplify right side
    277,125,616x = 150,108,158,901,195,360
  5. Step 5: Solve for x
    x = 150,108,158,901,195,360/277,125,616
  6. Step 6: Final answer
    x = 541,661,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.