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Finding the Third Proportional to 204,671,352 and 445,203,120

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Solution

The third proportional to 204,671,352 and 445,203,120 is: 968,410,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671,352 : 445,203,120 = 445,203,120 : x
  2. Step 2: Convert to fraction form
    204,671,352/445,203,120 = 445,203,120/x
  3. Step 3: Cross multiply
    204,671,352x = 445,203,120 × 445,203,120
  4. Step 4: Simplify right side
    204,671,352x = 198,205,818,057,734,400
  5. Step 5: Solve for x
    x = 198,205,818,057,734,400/204,671,352
  6. Step 6: Final answer
    x = 968,410,166.45

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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.