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Finding the Third Proportional to 231,805.13 and 478,450.13

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Solution

The third proportional to 231,805.13 and 478,450.13 is: 987,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.13 : 478,450.13 = 478,450.13 : x
  2. Step 2: Convert to fraction form
    231,805.13/478,450.13 = 478,450.13/x
  3. Step 3: Cross multiply
    231,805.13x = 478,450.13 × 478,450.13
  4. Step 4: Simplify right side
    231,805.13x = 228,914,522,112.52
  5. Step 5: Solve for x
    x = 228,914,522,112.52/231,805.13
  6. Step 6: Final answer
    x = 987,530.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.