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Finding the Third Proportional to 366,128 and 788,434

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Solution

The third proportional to 366,128 and 788,434 is: 1,697,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,128 : 788,434 = 788,434 : x
  2. Step 2: Convert to fraction form
    366,128/788,434 = 788,434/x
  3. Step 3: Cross multiply
    366,128x = 788,434 × 788,434
  4. Step 4: Simplify right side
    366,128x = 621,628,172,356
  5. Step 5: Solve for x
    x = 621,628,172,356/366,128
  6. Step 6: Final answer
    x = 1,697,843.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.