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Finding the Third Proportional to 123,438.38 and 161,245.13

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Solution

The third proportional to 123,438.38 and 161,245.13 is: 210,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438.38 : 161,245.13 = 161,245.13 : x
  2. Step 2: Convert to fraction form
    123,438.38/161,245.13 = 161,245.13/x
  3. Step 3: Cross multiply
    123,438.38x = 161,245.13 × 161,245.13
  4. Step 4: Simplify right side
    123,438.38x = 25,999,990,336.27
  5. Step 5: Solve for x
    x = 25,999,990,336.27/123,438.38
  6. Step 6: Final answer
    x = 210,631.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.