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Finding the Third Proportional to 92,113.50 and 200,446.50

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Solution

The third proportional to 92,113.50 and 200,446.50 is: 436,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,113.50 : 200,446.50 = 200,446.50 : x
  2. Step 2: Convert to fraction form
    92,113.50/200,446.50 = 200,446.50/x
  3. Step 3: Cross multiply
    92,113.50x = 200,446.50 × 200,446.50
  4. Step 4: Simplify right side
    92,113.50x = 40,178,799,362.25
  5. Step 5: Solve for x
    x = 40,178,799,362.25/92,113.50
  6. Step 6: Final answer
    x = 436,187.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.