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Finding the Third Proportional to 128,109.50 and 177,634

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Solution

The third proportional to 128,109.50 and 177,634 is: 246,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,109.50 : 177,634 = 177,634 : x
  2. Step 2: Convert to fraction form
    128,109.50/177,634 = 177,634/x
  3. Step 3: Cross multiply
    128,109.50x = 177,634 × 177,634
  4. Step 4: Simplify right side
    128,109.50x = 31,553,837,956
  5. Step 5: Solve for x
    x = 31,553,837,956/128,109.50
  6. Step 6: Final answer
    x = 246,303.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.