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Finding the Third Proportional to 128,410 and 199,610

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Solution

The third proportional to 128,410 and 199,610 is: 310,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,410 : 199,610 = 199,610 : x
  2. Step 2: Convert to fraction form
    128,410/199,610 = 199,610/x
  3. Step 3: Cross multiply
    128,410x = 199,610 × 199,610
  4. Step 4: Simplify right side
    128,410x = 39,844,152,100
  5. Step 5: Solve for x
    x = 39,844,152,100/128,410
  6. Step 6: Final answer
    x = 310,288.55

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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.