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Finding the Third Proportional to 136,327.50 and 279,438.75

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Solution

The third proportional to 136,327.50 and 279,438.75 is: 572,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327.50 : 279,438.75 = 279,438.75 : x
  2. Step 2: Convert to fraction form
    136,327.50/279,438.75 = 279,438.75/x
  3. Step 3: Cross multiply
    136,327.50x = 279,438.75 × 279,438.75
  4. Step 4: Simplify right side
    136,327.50x = 78,086,015,001.56
  5. Step 5: Solve for x
    x = 78,086,015,001.56/136,327.50
  6. Step 6: Final answer
    x = 572,782.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.