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Finding the Third Proportional to 180,049.88 and 393,319.69

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Solution

The third proportional to 180,049.88 and 393,319.69 is: 859,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,049.88 : 393,319.69 = 393,319.69 : x
  2. Step 2: Convert to fraction form
    180,049.88/393,319.69 = 393,319.69/x
  3. Step 3: Cross multiply
    180,049.88x = 393,319.69 × 393,319.69
  4. Step 4: Simplify right side
    180,049.88x = 154,700,376,575.10
  5. Step 5: Solve for x
    x = 154,700,376,575.10/180,049.88
  6. Step 6: Final answer
    x = 859,208.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.