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Finding the Third Proportional to 66,984 and 90,966

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Solution

The third proportional to 66,984 and 90,966 is: 123,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984 : 90,966 = 90,966 : x
  2. Step 2: Convert to fraction form
    66,984/90,966 = 90,966/x
  3. Step 3: Cross multiply
    66,984x = 90,966 × 90,966
  4. Step 4: Simplify right side
    66,984x = 8,274,813,156
  5. Step 5: Solve for x
    x = 8,274,813,156/66,984
  6. Step 6: Final answer
    x = 123,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.