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Finding the Third Proportional to 71,779.50 and 100,584.75

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Solution

The third proportional to 71,779.50 and 100,584.75 is: 140,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,779.50 : 100,584.75 = 100,584.75 : x
  2. Step 2: Convert to fraction form
    71,779.50/100,584.75 = 100,584.75/x
  3. Step 3: Cross multiply
    71,779.50x = 100,584.75 × 100,584.75
  4. Step 4: Simplify right side
    71,779.50x = 10,117,291,932.56
  5. Step 5: Solve for x
    x = 10,117,291,932.56/71,779.50
  6. Step 6: Final answer
    x = 140,949.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.