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Finding the Third Proportional to 128,837.25 and 192,658.50

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Solution

The third proportional to 128,837.25 and 192,658.50 is: 288,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,837.25 : 192,658.50 = 192,658.50 : x
  2. Step 2: Convert to fraction form
    128,837.25/192,658.50 = 192,658.50/x
  3. Step 3: Cross multiply
    128,837.25x = 192,658.50 × 192,658.50
  4. Step 4: Simplify right side
    128,837.25x = 37,117,297,622.25
  5. Step 5: Solve for x
    x = 37,117,297,622.25/128,837.25
  6. Step 6: Final answer
    x = 288,094.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.