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Finding the Third Proportional to 69,586.50 and 155,109.75

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Solution

The third proportional to 69,586.50 and 155,109.75 is: 345,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,586.50 : 155,109.75 = 155,109.75 : x
  2. Step 2: Convert to fraction form
    69,586.50/155,109.75 = 155,109.75/x
  3. Step 3: Cross multiply
    69,586.50x = 155,109.75 × 155,109.75
  4. Step 4: Simplify right side
    69,586.50x = 24,059,034,545.06
  5. Step 5: Solve for x
    x = 24,059,034,545.06/69,586.50
  6. Step 6: Final answer
    x = 345,742.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.