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Finding the Third Proportional to 180,185,477 and 393,399,029

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Solution

The third proportional to 180,185,477 and 393,399,029 is: 858,908,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,477 : 393,399,029 = 393,399,029 : x
  2. Step 2: Convert to fraction form
    180,185,477/393,399,029 = 393,399,029/x
  3. Step 3: Cross multiply
    180,185,477x = 393,399,029 × 393,399,029
  4. Step 4: Simplify right side
    180,185,477x = 154,762,796,018,142,848
  5. Step 5: Solve for x
    x = 154,762,796,018,142,848/180,185,477
  6. Step 6: Final answer
    x = 858,908,268.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.