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Finding the Third Proportional to 193,890 and 289,665

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Solution

The third proportional to 193,890 and 289,665 is: 432,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,890 : 289,665 = 289,665 : x
  2. Step 2: Convert to fraction form
    193,890/289,665 = 289,665/x
  3. Step 3: Cross multiply
    193,890x = 289,665 × 289,665
  4. Step 4: Simplify right side
    193,890x = 83,905,812,225
  5. Step 5: Solve for x
    x = 83,905,812,225/193,890
  6. Step 6: Final answer
    x = 432,749.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.