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Finding the Third Proportional to 79,821,811 and 172,102,961

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Solution

The third proportional to 79,821,811 and 172,102,961 is: 371,069,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821,811 : 172,102,961 = 172,102,961 : x
  2. Step 2: Convert to fraction form
    79,821,811/172,102,961 = 172,102,961/x
  3. Step 3: Cross multiply
    79,821,811x = 172,102,961 × 172,102,961
  4. Step 4: Simplify right side
    79,821,811x = 29,619,429,184,967,520
  5. Step 5: Solve for x
    x = 29,619,429,184,967,520/79,821,811
  6. Step 6: Final answer
    x = 371,069,370.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.