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Finding the Third Proportional to 77,589,993 and 129,311,254

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Solution

The third proportional to 77,589,993 and 129,311,254 is: 215,509,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,589,993 : 129,311,254 = 129,311,254 : x
  2. Step 2: Convert to fraction form
    77,589,993/129,311,254 = 129,311,254/x
  3. Step 3: Cross multiply
    77,589,993x = 129,311,254 × 129,311,254
  4. Step 4: Simplify right side
    77,589,993x = 16,721,400,411,052,516
  5. Step 5: Solve for x
    x = 16,721,400,411,052,516/77,589,993
  6. Step 6: Final answer
    x = 215,509,755.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.