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Finding the Third Proportional to 277,284,128 and 387,640,368

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Solution

The third proportional to 277,284,128 and 387,640,368 is: 541,917,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,284,128 : 387,640,368 = 387,640,368 : x
  2. Step 2: Convert to fraction form
    277,284,128/387,640,368 = 387,640,368/x
  3. Step 3: Cross multiply
    277,284,128x = 387,640,368 × 387,640,368
  4. Step 4: Simplify right side
    277,284,128x = 150,265,054,903,175,424
  5. Step 5: Solve for x
    x = 150,265,054,903,175,424/277,284,128
  6. Step 6: Final answer
    x = 541,917,260.06

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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.