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Finding the Third Proportional to 392,731,922.25 and 854,415,803.25

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Solution

The third proportional to 392,731,922.25 and 854,415,803.25 is: 1,858,841,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,731,922.25 : 854,415,803.25 = 854,415,803.25 : x
  2. Step 2: Convert to fraction form
    392,731,922.25/854,415,803.25 = 854,415,803.25/x
  3. Step 3: Cross multiply
    392,731,922.25x = 854,415,803.25 × 854,415,803.25
  4. Step 4: Simplify right side
    392,731,922.25x = 730,026,364,843,342,720
  5. Step 5: Solve for x
    x = 730,026,364,843,342,720/392,731,922.25
  6. Step 6: Final answer
    x = 1,858,841,422.06

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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.