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Finding the Third Proportional to 180,538.56 and 279,406.34

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Solution

The third proportional to 180,538.56 and 279,406.34 is: 432,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,538.56 : 279,406.34 = 279,406.34 : x
  2. Step 2: Convert to fraction form
    180,538.56/279,406.34 = 279,406.34/x
  3. Step 3: Cross multiply
    180,538.56x = 279,406.34 × 279,406.34
  4. Step 4: Simplify right side
    180,538.56x = 78,067,900,562.02
  5. Step 5: Solve for x
    x = 78,067,900,562.02/180,538.56
  6. Step 6: Final answer
    x = 432,416.77

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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.