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Finding the Third Proportional to 81,961,885 and 124,621,119

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Solution

The third proportional to 81,961,885 and 124,621,119 is: 189,483,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,961,885 : 124,621,119 = 124,621,119 : x
  2. Step 2: Convert to fraction form
    81,961,885/124,621,119 = 124,621,119/x
  3. Step 3: Cross multiply
    81,961,885x = 124,621,119 × 124,621,119
  4. Step 4: Simplify right side
    81,961,885x = 15,530,423,300,812,160
  5. Step 5: Solve for x
    x = 15,530,423,300,812,160/81,961,885
  6. Step 6: Final answer
    x = 189,483,481.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.