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Finding the Third Proportional to 356,128,464,384 and 768,043,904,544

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Solution

The third proportional to 356,128,464,384 and 768,043,904,544 is: 1,656,400,704,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,128,464,384 : 768,043,904,544 = 768,043,904,544 : x
  2. Step 2: Convert to fraction form
    356,128,464,384/768,043,904,544 = 768,043,904,544/x
  3. Step 3: Cross multiply
    356,128,464,384x = 768,043,904,544 × 768,043,904,544
  4. Step 4: Simplify right side
    356,128,464,384x = 589,891,439,307,192,979,685,376
  5. Step 5: Solve for x
    x = 589,891,439,307,192,979,685,376/356,128,464,384
  6. Step 6: Final answer
    x = 1,656,400,704,525.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.