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Finding the Third Proportional to 156,908.25 and 342,974.25

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Solution

The third proportional to 156,908.25 and 342,974.25 is: 749,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,908.25 : 342,974.25 = 342,974.25 : x
  2. Step 2: Convert to fraction form
    156,908.25/342,974.25 = 342,974.25/x
  3. Step 3: Cross multiply
    156,908.25x = 342,974.25 × 342,974.25
  4. Step 4: Simplify right side
    156,908.25x = 117,631,336,163.06
  5. Step 5: Solve for x
    x = 117,631,336,163.06/156,908.25
  6. Step 6: Final answer
    x = 749,682.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.