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Finding the Third Proportional to 151,389 and 217,242

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Solution

The third proportional to 151,389 and 217,242 is: 311,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,389 : 217,242 = 217,242 : x
  2. Step 2: Convert to fraction form
    151,389/217,242 = 217,242/x
  3. Step 3: Cross multiply
    151,389x = 217,242 × 217,242
  4. Step 4: Simplify right side
    151,389x = 47,194,086,564
  5. Step 5: Solve for x
    x = 47,194,086,564/151,389
  6. Step 6: Final answer
    x = 311,740.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.