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Finding the Third Proportional to 90,661.50 and 119,299.50

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Solution

The third proportional to 90,661.50 and 119,299.50 is: 156,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,661.50 : 119,299.50 = 119,299.50 : x
  2. Step 2: Convert to fraction form
    90,661.50/119,299.50 = 119,299.50/x
  3. Step 3: Cross multiply
    90,661.50x = 119,299.50 × 119,299.50
  4. Step 4: Simplify right side
    90,661.50x = 14,232,370,700.25
  5. Step 5: Solve for x
    x = 14,232,370,700.25/90,661.50
  6. Step 6: Final answer
    x = 156,983.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.