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Finding the Third Proportional to 81,770,520 and 180,133,080

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Solution

The third proportional to 81,770,520 and 180,133,080 is: 396,816,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770,520 : 180,133,080 = 180,133,080 : x
  2. Step 2: Convert to fraction form
    81,770,520/180,133,080 = 180,133,080/x
  3. Step 3: Cross multiply
    81,770,520x = 180,133,080 × 180,133,080
  4. Step 4: Simplify right side
    81,770,520x = 32,447,926,510,286,400
  5. Step 5: Solve for x
    x = 32,447,926,510,286,400/81,770,520
  6. Step 6: Final answer
    x = 396,816,927.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.