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Finding the Third Proportional to 156,134.46 and 335,950.03

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Solution

The third proportional to 156,134.46 and 335,950.03 is: 722,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,134.46 : 335,950.03 = 335,950.03 : x
  2. Step 2: Convert to fraction form
    156,134.46/335,950.03 = 335,950.03/x
  3. Step 3: Cross multiply
    156,134.46x = 335,950.03 × 335,950.03
  4. Step 4: Simplify right side
    156,134.46x = 112,862,423,496.88
  5. Step 5: Solve for x
    x = 112,862,423,496.88/156,134.46
  6. Step 6: Final answer
    x = 722,854.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.