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Finding the Third Proportional to 149,846.50 and 318,763

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Solution

The third proportional to 149,846.50 and 318,763 is: 678,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.50 : 318,763 = 318,763 : x
  2. Step 2: Convert to fraction form
    149,846.50/318,763 = 318,763/x
  3. Step 3: Cross multiply
    149,846.50x = 318,763 × 318,763
  4. Step 4: Simplify right side
    149,846.50x = 101,609,850,169
  5. Step 5: Solve for x
    x = 101,609,850,169/149,846.50
  6. Step 6: Final answer
    x = 678,092.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.