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Finding the Third Proportional to 485,927,380.50 and 782,503,188

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Solution

The third proportional to 485,927,380.50 and 782,503,188 is: 1,260,087,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,927,380.50 : 782,503,188 = 782,503,188 : x
  2. Step 2: Convert to fraction form
    485,927,380.50/782,503,188 = 782,503,188/x
  3. Step 3: Cross multiply
    485,927,380.50x = 782,503,188 × 782,503,188
  4. Step 4: Simplify right side
    485,927,380.50x = 612,311,239,230,163,328
  5. Step 5: Solve for x
    x = 612,311,239,230,163,328/485,927,380.50
  6. Step 6: Final answer
    x = 1,260,087,955.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.