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Finding the Third Proportional to 1,186,209,791 and 2,550,940,166

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Solution

The third proportional to 1,186,209,791 and 2,550,940,166 is: 5,485,788,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,209,791 : 2,550,940,166 = 2,550,940,166 : x
  2. Step 2: Convert to fraction form
    1,186,209,791/2,550,940,166 = 2,550,940,166/x
  3. Step 3: Cross multiply
    1,186,209,791x = 2,550,940,166 × 2,550,940,166
  4. Step 4: Simplify right side
    1,186,209,791x = 6,507,295,730,512,107,520
  5. Step 5: Solve for x
    x = 6,507,295,730,512,107,520/1,186,209,791
  6. Step 6: Final answer
    x = 5,485,788,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.