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Finding the Third Proportional to 66,583.69 and 89,709.19

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Solution

The third proportional to 66,583.69 and 89,709.19 is: 120,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,583.69 : 89,709.19 = 89,709.19 : x
  2. Step 2: Convert to fraction form
    66,583.69/89,709.19 = 89,709.19/x
  3. Step 3: Cross multiply
    66,583.69x = 89,709.19 × 89,709.19
  4. Step 4: Simplify right side
    66,583.69x = 8,047,738,321.91
  5. Step 5: Solve for x
    x = 8,047,738,321.91/66,583.69
  6. Step 6: Final answer
    x = 120,866.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.