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Finding the Third Proportional to 192,240 and 288,265.50

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Solution

The third proportional to 192,240 and 288,265.50 is: 432,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,240 : 288,265.50 = 288,265.50 : x
  2. Step 2: Convert to fraction form
    192,240/288,265.50 = 288,265.50/x
  3. Step 3: Cross multiply
    192,240x = 288,265.50 × 288,265.50
  4. Step 4: Simplify right side
    192,240x = 83,096,998,490.25
  5. Step 5: Solve for x
    x = 83,096,998,490.25/192,240
  6. Step 6: Final answer
    x = 432,256.55

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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.