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Finding the Third Proportional to 321,027,420 and 491,903,808

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Solution

The third proportional to 321,027,420 and 491,903,808 is: 753,734,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,027,420 : 491,903,808 = 491,903,808 : x
  2. Step 2: Convert to fraction form
    321,027,420/491,903,808 = 491,903,808/x
  3. Step 3: Cross multiply
    321,027,420x = 491,903,808 × 491,903,808
  4. Step 4: Simplify right side
    321,027,420x = 241,969,356,324,900,864
  5. Step 5: Solve for x
    x = 241,969,356,324,900,864/321,027,420
  6. Step 6: Final answer
    x = 753,734,233.43

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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.