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Finding the Third Proportional to 128,362.50 and 192,942

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Solution

The third proportional to 128,362.50 and 192,942 is: 290,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,362.50 : 192,942 = 192,942 : x
  2. Step 2: Convert to fraction form
    128,362.50/192,942 = 192,942/x
  3. Step 3: Cross multiply
    128,362.50x = 192,942 × 192,942
  4. Step 4: Simplify right side
    128,362.50x = 37,226,615,364
  5. Step 5: Solve for x
    x = 37,226,615,364/128,362.50
  6. Step 6: Final answer
    x = 290,011.61

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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.