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Finding the Third Proportional to 128,829 and 192,651

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Solution

The third proportional to 128,829 and 192,651 is: 288,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,829 : 192,651 = 192,651 : x
  2. Step 2: Convert to fraction form
    128,829/192,651 = 192,651/x
  3. Step 3: Cross multiply
    128,829x = 192,651 × 192,651
  4. Step 4: Simplify right side
    128,829x = 37,114,407,801
  5. Step 5: Solve for x
    x = 37,114,407,801/128,829
  6. Step 6: Final answer
    x = 288,090.47

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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.