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Finding the Third Proportional to 128,350 and 199,526

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Solution

The third proportional to 128,350 and 199,526 is: 310,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,350 : 199,526 = 199,526 : x
  2. Step 2: Convert to fraction form
    128,350/199,526 = 199,526/x
  3. Step 3: Cross multiply
    128,350x = 199,526 × 199,526
  4. Step 4: Simplify right side
    128,350x = 39,810,624,676
  5. Step 5: Solve for x
    x = 39,810,624,676/128,350
  6. Step 6: Final answer
    x = 310,172.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.