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Finding the Third Proportional to 128,834 and 192,658

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Solution

The third proportional to 128,834 and 192,658 is: 288,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,834 : 192,658 = 192,658 : x
  2. Step 2: Convert to fraction form
    128,834/192,658 = 192,658/x
  3. Step 3: Cross multiply
    128,834x = 192,658 × 192,658
  4. Step 4: Simplify right side
    128,834x = 37,117,104,964
  5. Step 5: Solve for x
    x = 37,117,104,964/128,834
  6. Step 6: Final answer
    x = 288,100.23

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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.