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Finding the Third Proportional to 136,658.25 and 214,357.50

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Solution

The third proportional to 136,658.25 and 214,357.50 is: 336,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,658.25 : 214,357.50 = 214,357.50 : x
  2. Step 2: Convert to fraction form
    136,658.25/214,357.50 = 214,357.50/x
  3. Step 3: Cross multiply
    136,658.25x = 214,357.50 × 214,357.50
  4. Step 4: Simplify right side
    136,658.25x = 45,949,137,806.25
  5. Step 5: Solve for x
    x = 45,949,137,806.25/136,658.25
  6. Step 6: Final answer
    x = 336,233.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.