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Finding the Third Proportional to 85,284.50 and 133,779.75

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Solution

The third proportional to 85,284.50 and 133,779.75 is: 209,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284.50 : 133,779.75 = 133,779.75 : x
  2. Step 2: Convert to fraction form
    85,284.50/133,779.75 = 133,779.75/x
  3. Step 3: Cross multiply
    85,284.50x = 133,779.75 × 133,779.75
  4. Step 4: Simplify right side
    85,284.50x = 17,897,021,510.06
  5. Step 5: Solve for x
    x = 17,897,021,510.06/85,284.50
  6. Step 6: Final answer
    x = 209,850.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.