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Finding the Third Proportional to 389,589,208.50 and 857,095,311

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Solution

The third proportional to 389,589,208.50 and 857,095,311 is: 1,885,607,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,589,208.50 : 857,095,311 = 857,095,311 : x
  2. Step 2: Convert to fraction form
    389,589,208.50/857,095,311 = 857,095,311/x
  3. Step 3: Cross multiply
    389,589,208.50x = 857,095,311 × 857,095,311
  4. Step 4: Simplify right side
    389,589,208.50x = 734,612,372,138,186,752
  5. Step 5: Solve for x
    x = 734,612,372,138,186,752/389,589,208.50
  6. Step 6: Final answer
    x = 1,885,607,599.26

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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.