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Finding the Third Proportional to 182,901 and 399,318

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Solution

The third proportional to 182,901 and 399,318 is: 871,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,901 : 399,318 = 399,318 : x
  2. Step 2: Convert to fraction form
    182,901/399,318 = 399,318/x
  3. Step 3: Cross multiply
    182,901x = 399,318 × 399,318
  4. Step 4: Simplify right side
    182,901x = 159,454,865,124
  5. Step 5: Solve for x
    x = 159,454,865,124/182,901
  6. Step 6: Final answer
    x = 871,809.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.