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Finding the Third Proportional to 128,335.32 and 192,307.92

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Solution

The third proportional to 128,335.32 and 192,307.92 is: 288,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,335.32 : 192,307.92 = 192,307.92 : x
  2. Step 2: Convert to fraction form
    128,335.32/192,307.92 = 192,307.92/x
  3. Step 3: Cross multiply
    128,335.32x = 192,307.92 × 192,307.92
  4. Step 4: Simplify right side
    128,335.32x = 36,982,336,815.88
  5. Step 5: Solve for x
    x = 36,982,336,815.88/128,335.32
  6. Step 6: Final answer
    x = 288,169.58

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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.