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Finding the Third Proportional to 90,569,692 and 198,932,166

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Solution

The third proportional to 90,569,692 and 198,932,166 is: 436,945,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,569,692 : 198,932,166 = 198,932,166 : x
  2. Step 2: Convert to fraction form
    90,569,692/198,932,166 = 198,932,166/x
  3. Step 3: Cross multiply
    90,569,692x = 198,932,166 × 198,932,166
  4. Step 4: Simplify right side
    90,569,692x = 39,574,006,669,451,552
  5. Step 5: Solve for x
    x = 39,574,006,669,451,552/90,569,692
  6. Step 6: Final answer
    x = 436,945,359.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.