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Finding the Third Proportional to 182,902.50 and 399,321

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Solution

The third proportional to 182,902.50 and 399,321 is: 871,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,902.50 : 399,321 = 399,321 : x
  2. Step 2: Convert to fraction form
    182,902.50/399,321 = 399,321/x
  3. Step 3: Cross multiply
    182,902.50x = 399,321 × 399,321
  4. Step 4: Simplify right side
    182,902.50x = 159,457,261,041
  5. Step 5: Solve for x
    x = 159,457,261,041/182,902.50
  6. Step 6: Final answer
    x = 871,815.65

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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.