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Finding the Third Proportional to 204,100,125 and 315,172,797

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Solution

The third proportional to 204,100,125 and 315,172,797 is: 486,691,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,100,125 : 315,172,797 = 315,172,797 : x
  2. Step 2: Convert to fraction form
    204,100,125/315,172,797 = 315,172,797/x
  3. Step 3: Cross multiply
    204,100,125x = 315,172,797 × 315,172,797
  4. Step 4: Simplify right side
    204,100,125x = 99,333,891,968,803,216
  5. Step 5: Solve for x
    x = 99,333,891,968,803,216/204,100,125
  6. Step 6: Final answer
    x = 486,691,970.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.