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Finding the Third Proportional to 389,895,786 and 856,307,880

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Solution

The third proportional to 389,895,786 and 856,307,880 is: 1,880,664,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,895,786 : 856,307,880 = 856,307,880 : x
  2. Step 2: Convert to fraction form
    389,895,786/856,307,880 = 856,307,880/x
  3. Step 3: Cross multiply
    389,895,786x = 856,307,880 × 856,307,880
  4. Step 4: Simplify right side
    389,895,786x = 733,263,185,350,094,336
  5. Step 5: Solve for x
    x = 733,263,185,350,094,336/389,895,786
  6. Step 6: Final answer
    x = 1,880,664,556.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.