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Finding the Third Proportional to 361,936 and 788,120

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Solution

The third proportional to 361,936 and 788,120 is: 1,716,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,936 : 788,120 = 788,120 : x
  2. Step 2: Convert to fraction form
    361,936/788,120 = 788,120/x
  3. Step 3: Cross multiply
    361,936x = 788,120 × 788,120
  4. Step 4: Simplify right side
    361,936x = 621,133,134,400
  5. Step 5: Solve for x
    x = 621,133,134,400/361,936
  6. Step 6: Final answer
    x = 1,716,140.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.