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Finding the Third Proportional to 218,436,472 and 469,289,988

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Solution

The third proportional to 218,436,472 and 469,289,988 is: 1,008,224,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,436,472 : 469,289,988 = 469,289,988 : x
  2. Step 2: Convert to fraction form
    218,436,472/469,289,988 = 469,289,988/x
  3. Step 3: Cross multiply
    218,436,472x = 469,289,988 × 469,289,988
  4. Step 4: Simplify right side
    218,436,472x = 220,233,092,837,040,128
  5. Step 5: Solve for x
    x = 220,233,092,837,040,128/218,436,472
  6. Step 6: Final answer
    x = 1,008,224,912.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.