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Finding the Third Proportional to 193,290 and 289,035

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Solution

The third proportional to 193,290 and 289,035 is: 432,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,290 : 289,035 = 289,035 : x
  2. Step 2: Convert to fraction form
    193,290/289,035 = 289,035/x
  3. Step 3: Cross multiply
    193,290x = 289,035 × 289,035
  4. Step 4: Simplify right side
    193,290x = 83,541,231,225
  5. Step 5: Solve for x
    x = 83,541,231,225/193,290
  6. Step 6: Final answer
    x = 432,206.69

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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.