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Finding the Third Proportional to 86,183,812 and 120,932,996

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Solution

The third proportional to 86,183,812 and 120,932,996 is: 169,692,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,183,812 : 120,932,996 = 120,932,996 : x
  2. Step 2: Convert to fraction form
    86,183,812/120,932,996 = 120,932,996/x
  3. Step 3: Cross multiply
    86,183,812x = 120,932,996 × 120,932,996
  4. Step 4: Simplify right side
    86,183,812x = 14,624,789,521,536,016
  5. Step 5: Solve for x
    x = 14,624,789,521,536,016/86,183,812
  6. Step 6: Final answer
    x = 169,692,998.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.