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Finding the Third Proportional to 79,821,813 and 172,102,965

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Solution

The third proportional to 79,821,813 and 172,102,965 is: 371,069,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,821,813 : 172,102,965 = 172,102,965 : x
  2. Step 2: Convert to fraction form
    79,821,813/172,102,965 = 172,102,965/x
  3. Step 3: Cross multiply
    79,821,813x = 172,102,965 × 172,102,965
  4. Step 4: Simplify right side
    79,821,813x = 29,619,430,561,791,224
  5. Step 5: Solve for x
    x = 29,619,430,561,791,224/79,821,813
  6. Step 6: Final answer
    x = 371,069,378.76

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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.