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Finding the Third Proportional to 71,622.38 and 151,782.38

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Solution

The third proportional to 71,622.38 and 151,782.38 is: 321,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,622.38 : 151,782.38 = 151,782.38 : x
  2. Step 2: Convert to fraction form
    71,622.38/151,782.38 = 151,782.38/x
  3. Step 3: Cross multiply
    71,622.38x = 151,782.38 × 151,782.38
  4. Step 4: Simplify right side
    71,622.38x = 23,037,889,360.64
  5. Step 5: Solve for x
    x = 23,037,889,360.64/71,622.38
  6. Step 6: Final answer
    x = 321,657.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.