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Finding the Third Proportional to 1,597,120 and 3,494,336

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Solution

The third proportional to 1,597,120 and 3,494,336 is: 7,645,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,120 : 3,494,336 = 3,494,336 : x
  2. Step 2: Convert to fraction form
    1,597,120/3,494,336 = 3,494,336/x
  3. Step 3: Cross multiply
    1,597,120x = 3,494,336 × 3,494,336
  4. Step 4: Simplify right side
    1,597,120x = 12,210,384,080,896
  5. Step 5: Solve for x
    x = 12,210,384,080,896/1,597,120
  6. Step 6: Final answer
    x = 7,645,251.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.