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Finding the Third Proportional to 286,978.50 and 363,876.75

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Solution

The third proportional to 286,978.50 and 363,876.75 is: 461,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,978.50 : 363,876.75 = 363,876.75 : x
  2. Step 2: Convert to fraction form
    286,978.50/363,876.75 = 363,876.75/x
  3. Step 3: Cross multiply
    286,978.50x = 363,876.75 × 363,876.75
  4. Step 4: Simplify right side
    286,978.50x = 132,406,289,190.56
  5. Step 5: Solve for x
    x = 132,406,289,190.56/286,978.50
  6. Step 6: Final answer
    x = 461,380.52

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.