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Finding the Third Proportional to 90,405,538 and 196,222,850

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Solution

The third proportional to 90,405,538 and 196,222,850 is: 425,896,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,538 : 196,222,850 = 196,222,850 : x
  2. Step 2: Convert to fraction form
    90,405,538/196,222,850 = 196,222,850/x
  3. Step 3: Cross multiply
    90,405,538x = 196,222,850 × 196,222,850
  4. Step 4: Simplify right side
    90,405,538x = 38,503,406,862,122,496
  5. Step 5: Solve for x
    x = 38,503,406,862,122,496/90,405,538
  6. Step 6: Final answer
    x = 425,896,551.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.