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Finding the Third Proportional to 90,506 and 198,818.50

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Solution

The third proportional to 90,506 and 198,818.50 is: 436,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,506 : 198,818.50 = 198,818.50 : x
  2. Step 2: Convert to fraction form
    90,506/198,818.50 = 198,818.50/x
  3. Step 3: Cross multiply
    90,506x = 198,818.50 × 198,818.50
  4. Step 4: Simplify right side
    90,506x = 39,528,795,942.25
  5. Step 5: Solve for x
    x = 39,528,795,942.25/90,506
  6. Step 6: Final answer
    x = 436,753.32

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