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Finding the Third Proportional to 180,147.38 and 280,427.06

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Solution

The third proportional to 180,147.38 and 280,427.06 is: 436,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,147.38 : 280,427.06 = 280,427.06 : x
  2. Step 2: Convert to fraction form
    180,147.38/280,427.06 = 280,427.06/x
  3. Step 3: Cross multiply
    180,147.38x = 280,427.06 × 280,427.06
  4. Step 4: Simplify right side
    180,147.38x = 78,639,337,382.38
  5. Step 5: Solve for x
    x = 78,639,337,382.38/180,147.38
  6. Step 6: Final answer
    x = 436,527.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.