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Finding the Third Proportional to 180,185,505 and 393,399,084

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Solution

The third proportional to 180,185,505 and 393,399,084 is: 858,908,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,505 : 393,399,084 = 393,399,084 : x
  2. Step 2: Convert to fraction form
    180,185,505/393,399,084 = 393,399,084/x
  3. Step 3: Cross multiply
    180,185,505x = 393,399,084 × 393,399,084
  4. Step 4: Simplify right side
    180,185,505x = 154,762,839,292,039,040
  5. Step 5: Solve for x
    x = 154,762,839,292,039,040/180,185,505
  6. Step 6: Final answer
    x = 858,908,374.97

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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.