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Finding the Third Proportional to 328,599 and 363,159

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Solution

The third proportional to 328,599 and 363,159 is: 401,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,599 : 363,159 = 363,159 : x
  2. Step 2: Convert to fraction form
    328,599/363,159 = 363,159/x
  3. Step 3: Cross multiply
    328,599x = 363,159 × 363,159
  4. Step 4: Simplify right side
    328,599x = 131,884,459,281
  5. Step 5: Solve for x
    x = 131,884,459,281/328,599
  6. Step 6: Final answer
    x = 401,353.81

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.