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Finding the Third Proportional to 123,990.75 and 217,090.13

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Solution

The third proportional to 123,990.75 and 217,090.13 is: 380,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,990.75 : 217,090.13 = 217,090.13 : x
  2. Step 2: Convert to fraction form
    123,990.75/217,090.13 = 217,090.13/x
  3. Step 3: Cross multiply
    123,990.75x = 217,090.13 × 217,090.13
  4. Step 4: Simplify right side
    123,990.75x = 47,128,122,372.52
  5. Step 5: Solve for x
    x = 47,128,122,372.52/123,990.75
  6. Step 6: Final answer
    x = 380,093.86

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.