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Finding the Third Proportional to 180,499.50 and 280,621.13

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Solution

The third proportional to 180,499.50 and 280,621.13 is: 436,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,499.50 : 280,621.13 = 280,621.13 : x
  2. Step 2: Convert to fraction form
    180,499.50/280,621.13 = 280,621.13/x
  3. Step 3: Cross multiply
    180,499.50x = 280,621.13 × 280,621.13
  4. Step 4: Simplify right side
    180,499.50x = 78,748,215,796.27
  5. Step 5: Solve for x
    x = 78,748,215,796.27/180,499.50
  6. Step 6: Final answer
    x = 436,279.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.