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Finding the Third Proportional to 311,086,474 and 666,545,130

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Solution

The third proportional to 311,086,474 and 666,545,130 is: 1,428,163,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,474 : 666,545,130 = 666,545,130 : x
  2. Step 2: Convert to fraction form
    311,086,474/666,545,130 = 666,545,130/x
  3. Step 3: Cross multiply
    311,086,474x = 666,545,130 × 666,545,130
  4. Step 4: Simplify right side
    311,086,474x = 444,282,410,326,716,928
  5. Step 5: Solve for x
    x = 444,282,410,326,716,928/311,086,474
  6. Step 6: Final answer
    x = 1,428,163,701.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.