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Finding the Third Proportional to 128,215.69 and 188,154.84

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Solution

The third proportional to 128,215.69 and 188,154.84 is: 276,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,215.69 : 188,154.84 = 188,154.84 : x
  2. Step 2: Convert to fraction form
    128,215.69/188,154.84 = 188,154.84/x
  3. Step 3: Cross multiply
    128,215.69x = 188,154.84 × 188,154.84
  4. Step 4: Simplify right side
    128,215.69x = 35,402,245,226.59
  5. Step 5: Solve for x
    x = 35,402,245,226.59/128,215.69
  6. Step 6: Final answer
    x = 276,114.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.