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Finding the Third Proportional to 45,315 and 68,901.75

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Solution

The third proportional to 45,315 and 68,901.75 is: 104,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 68,901.75 = 68,901.75 : x
  2. Step 2: Convert to fraction form
    45,315/68,901.75 = 68,901.75/x
  3. Step 3: Cross multiply
    45,315x = 68,901.75 × 68,901.75
  4. Step 4: Simplify right side
    45,315x = 4,747,451,153.06
  5. Step 5: Solve for x
    x = 4,747,451,153.06/45,315
  6. Step 6: Final answer
    x = 104,765.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.