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Finding the Third Proportional to 311,086,436.63 and 666,545,053.78

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Solution

The third proportional to 311,086,436.63 and 666,545,053.78 is: 1,428,163,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,086,436.63 : 666,545,053.78 = 666,545,053.78 : x
  2. Step 2: Convert to fraction form
    311,086,436.63/666,545,053.78 = 666,545,053.78/x
  3. Step 3: Cross multiply
    311,086,436.63x = 666,545,053.78 × 666,545,053.78
  4. Step 4: Simplify right side
    311,086,436.63x = 444,282,308,720,249,472
  5. Step 5: Solve for x
    x = 444,282,308,720,249,472/311,086,436.63
  6. Step 6: Final answer
    x = 1,428,163,546.89

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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.