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Finding the Third Proportional to 151,395 and 217,251

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Solution

The third proportional to 151,395 and 217,251 is: 311,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,395 : 217,251 = 217,251 : x
  2. Step 2: Convert to fraction form
    151,395/217,251 = 217,251/x
  3. Step 3: Cross multiply
    151,395x = 217,251 × 217,251
  4. Step 4: Simplify right side
    151,395x = 47,197,997,001
  5. Step 5: Solve for x
    x = 47,197,997,001/151,395
  6. Step 6: Final answer
    x = 311,754.00

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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.