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Finding the Third Proportional to 128,100 and 192,562.50

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Solution

The third proportional to 128,100 and 192,562.50 is: 289,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,100 : 192,562.50 = 192,562.50 : x
  2. Step 2: Convert to fraction form
    128,100/192,562.50 = 192,562.50/x
  3. Step 3: Cross multiply
    128,100x = 192,562.50 × 192,562.50
  4. Step 4: Simplify right side
    128,100x = 37,080,316,406.25
  5. Step 5: Solve for x
    x = 37,080,316,406.25/128,100
  6. Step 6: Final answer
    x = 289,463.83

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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.