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Finding the Third Proportional to 66,000 and 89,664

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Solution

The third proportional to 66,000 and 89,664 is: 121,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,000 : 89,664 = 89,664 : x
  2. Step 2: Convert to fraction form
    66,000/89,664 = 89,664/x
  3. Step 3: Cross multiply
    66,000x = 89,664 × 89,664
  4. Step 4: Simplify right side
    66,000x = 8,039,632,896
  5. Step 5: Solve for x
    x = 8,039,632,896/66,000
  6. Step 6: Final answer
    x = 121,812.62

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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.