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Finding the Third Proportional to 330,228,544 and 771,139,336

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Solution

The third proportional to 330,228,544 and 771,139,336 is: 1,800,740,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,228,544 : 771,139,336 = 771,139,336 : x
  2. Step 2: Convert to fraction form
    330,228,544/771,139,336 = 771,139,336/x
  3. Step 3: Cross multiply
    330,228,544x = 771,139,336 × 771,139,336
  4. Step 4: Simplify right side
    330,228,544x = 594,655,875,526,520,832
  5. Step 5: Solve for x
    x = 594,655,875,526,520,832/330,228,544
  6. Step 6: Final answer
    x = 1,800,740,385.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.