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Finding the Third Proportional to 137,723.75 and 212,813.50

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Solution

The third proportional to 137,723.75 and 212,813.50 is: 328,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,723.75 : 212,813.50 = 212,813.50 : x
  2. Step 2: Convert to fraction form
    137,723.75/212,813.50 = 212,813.50/x
  3. Step 3: Cross multiply
    137,723.75x = 212,813.50 × 212,813.50
  4. Step 4: Simplify right side
    137,723.75x = 45,289,585,782.25
  5. Step 5: Solve for x
    x = 45,289,585,782.25/137,723.75
  6. Step 6: Final answer
    x = 328,843.69

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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.