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Finding the Third Proportional to 69,745 and 89,551

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Solution

The third proportional to 69,745 and 89,551 is: 114,981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,745 : 89,551 = 89,551 : x
  2. Step 2: Convert to fraction form
    69,745/89,551 = 89,551/x
  3. Step 3: Cross multiply
    69,745x = 89,551 × 89,551
  4. Step 4: Simplify right side
    69,745x = 8,019,381,601
  5. Step 5: Solve for x
    x = 8,019,381,601/69,745
  6. Step 6: Final answer
    x = 114,981.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.