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Finding the Third Proportional to 392,877,964 and 855,507,568

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Solution

The third proportional to 392,877,964 and 855,507,568 is: 1,862,902,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,877,964 : 855,507,568 = 855,507,568 : x
  2. Step 2: Convert to fraction form
    392,877,964/855,507,568 = 855,507,568/x
  3. Step 3: Cross multiply
    392,877,964x = 855,507,568 × 855,507,568
  4. Step 4: Simplify right side
    392,877,964x = 731,893,198,905,274,624
  5. Step 5: Solve for x
    x = 731,893,198,905,274,624/392,877,964
  6. Step 6: Final answer
    x = 1,862,902,137.48

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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.