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Finding the Third Proportional to 384,639,381 and 782,860,855.50

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Solution

The third proportional to 384,639,381 and 782,860,855.50 is: 1,593,365,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,639,381 : 782,860,855.50 = 782,860,855.50 : x
  2. Step 2: Convert to fraction form
    384,639,381/782,860,855.50 = 782,860,855.50/x
  3. Step 3: Cross multiply
    384,639,381x = 782,860,855.50 × 782,860,855.50
  4. Step 4: Simplify right side
    384,639,381x = 612,871,119,074,191,872
  5. Step 5: Solve for x
    x = 612,871,119,074,191,872/384,639,381
  6. Step 6: Final answer
    x = 1,593,365,498.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.