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Finding the Third Proportional to 311,086,054.88 and 666,544,285.88

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Solution

The third proportional to 311,086,054.88 and 666,544,285.88 is: 1,428,162,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,054.88 : 666,544,285.88 = 666,544,285.88 : x
  2. Step 2: Convert to fraction form
    311,086,054.88/666,544,285.88 = 666,544,285.88/x
  3. Step 3: Cross multiply
    311,086,054.88x = 666,544,285.88 × 666,544,285.88
  4. Step 4: Simplify right side
    311,086,054.88x = 444,281,285,032,613,696
  5. Step 5: Solve for x
    x = 444,281,285,032,613,696/311,086,054.88
  6. Step 6: Final answer
    x = 1,428,162,008.78

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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.