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Finding the Third Proportional to 66,004 and 89,670

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Solution

The third proportional to 66,004 and 89,670 is: 121,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,004 : 89,670 = 89,670 : x
  2. Step 2: Convert to fraction form
    66,004/89,670 = 89,670/x
  3. Step 3: Cross multiply
    66,004x = 89,670 × 89,670
  4. Step 4: Simplify right side
    66,004x = 8,040,708,900
  5. Step 5: Solve for x
    x = 8,040,708,900/66,004
  6. Step 6: Final answer
    x = 121,821.54

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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.