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Finding the Third Proportional to 81,881,739 and 180,139,644

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Solution

The third proportional to 81,881,739 and 180,139,644 is: 396,306,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881,739 : 180,139,644 = 180,139,644 : x
  2. Step 2: Convert to fraction form
    81,881,739/180,139,644 = 180,139,644/x
  3. Step 3: Cross multiply
    81,881,739x = 180,139,644 × 180,139,644
  4. Step 4: Simplify right side
    81,881,739x = 32,450,291,340,446,736
  5. Step 5: Solve for x
    x = 32,450,291,340,446,736/81,881,739
  6. Step 6: Final answer
    x = 396,306,816.84

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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.