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Finding the Third Proportional to 266,449,110 and 399,673,638

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Solution

The third proportional to 266,449,110 and 399,673,638 is: 599,510,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,449,110 : 399,673,638 = 399,673,638 : x
  2. Step 2: Convert to fraction form
    266,449,110/399,673,638 = 399,673,638/x
  3. Step 3: Cross multiply
    266,449,110x = 399,673,638 × 399,673,638
  4. Step 4: Simplify right side
    266,449,110x = 159,739,016,912,155,040
  5. Step 5: Solve for x
    x = 159,739,016,912,155,040/266,449,110
  6. Step 6: Final answer
    x = 599,510,416.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.