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Finding the Third Proportional to 90,405,168 and 196,222,124.50

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Solution

The third proportional to 90,405,168 and 196,222,124.50 is: 425,895,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,168 : 196,222,124.50 = 196,222,124.50 : x
  2. Step 2: Convert to fraction form
    90,405,168/196,222,124.50 = 196,222,124.50/x
  3. Step 3: Cross multiply
    90,405,168x = 196,222,124.50 × 196,222,124.50
  4. Step 4: Simplify right side
    90,405,168x = 38,503,122,143,293,504
  5. Step 5: Solve for x
    x = 38,503,122,143,293,504/90,405,168
  6. Step 6: Final answer
    x = 425,895,145.10

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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.