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Finding the Third Proportional to 42,250.50 and 92,763

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Solution

The third proportional to 42,250.50 and 92,763 is: 203,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,250.50 : 92,763 = 92,763 : x
  2. Step 2: Convert to fraction form
    42,250.50/92,763 = 92,763/x
  3. Step 3: Cross multiply
    42,250.50x = 92,763 × 92,763
  4. Step 4: Simplify right side
    42,250.50x = 8,604,974,169
  5. Step 5: Solve for x
    x = 8,604,974,169/42,250.50
  6. Step 6: Final answer
    x = 203,665.62

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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.