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Finding the Third Proportional to 480,194,198 and 1,033,189,252

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Solution

The third proportional to 480,194,198 and 1,033,189,252 is: 2,223,017,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,194,198 : 1,033,189,252 = 1,033,189,252 : x
  2. Step 2: Convert to fraction form
    480,194,198/1,033,189,252 = 1,033,189,252/x
  3. Step 3: Cross multiply
    480,194,198x = 1,033,189,252 × 1,033,189,252
  4. Step 4: Simplify right side
    480,194,198x = 1,067,480,030,448,319,488
  5. Step 5: Solve for x
    x = 1,067,480,030,448,319,488/480,194,198
  6. Step 6: Final answer
    x = 2,223,017,343.60

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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.