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Finding the Third Proportional to 92,119.50 and 200,458.50

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Solution

The third proportional to 92,119.50 and 200,458.50 is: 436,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119.50 : 200,458.50 = 200,458.50 : x
  2. Step 2: Convert to fraction form
    92,119.50/200,458.50 = 200,458.50/x
  3. Step 3: Cross multiply
    92,119.50x = 200,458.50 × 200,458.50
  4. Step 4: Simplify right side
    92,119.50x = 40,183,610,222.25
  5. Step 5: Solve for x
    x = 40,183,610,222.25/92,119.50
  6. Step 6: Final answer
    x = 436,211.77

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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.