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Finding the Third Proportional to 128,101.50 and 191,559

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Solution

The third proportional to 128,101.50 and 191,559 is: 286,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,101.50 : 191,559 = 191,559 : x
  2. Step 2: Convert to fraction form
    128,101.50/191,559 = 191,559/x
  3. Step 3: Cross multiply
    128,101.50x = 191,559 × 191,559
  4. Step 4: Simplify right side
    128,101.50x = 36,694,850,481
  5. Step 5: Solve for x
    x = 36,694,850,481/128,101.50
  6. Step 6: Final answer
    x = 286,451.37

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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.