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Finding the Third Proportional to 77,881,742 and 166,187,716

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Solution

The third proportional to 77,881,742 and 166,187,716 is: 354,619,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881,742 : 166,187,716 = 166,187,716 : x
  2. Step 2: Convert to fraction form
    77,881,742/166,187,716 = 166,187,716/x
  3. Step 3: Cross multiply
    77,881,742x = 166,187,716 × 166,187,716
  4. Step 4: Simplify right side
    77,881,742x = 27,618,356,949,296,656
  5. Step 5: Solve for x
    x = 27,618,356,949,296,656/77,881,742
  6. Step 6: Final answer
    x = 354,619,147.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.