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Finding the Third Proportional to 321,027,422 and 491,903,811

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Solution

The third proportional to 321,027,422 and 491,903,811 is: 753,734,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,027,422 : 491,903,811 = 491,903,811 : x
  2. Step 2: Convert to fraction form
    321,027,422/491,903,811 = 491,903,811/x
  3. Step 3: Cross multiply
    321,027,422x = 491,903,811 × 491,903,811
  4. Step 4: Simplify right side
    321,027,422x = 241,969,359,276,323,712
  5. Step 5: Solve for x
    x = 241,969,359,276,323,712/321,027,422
  6. Step 6: Final answer
    x = 753,734,237.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.