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Finding the Third Proportional to 123,678.75 and 251,676.75

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Solution

The third proportional to 123,678.75 and 251,676.75 is: 512,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678.75 : 251,676.75 = 251,676.75 : x
  2. Step 2: Convert to fraction form
    123,678.75/251,676.75 = 251,676.75/x
  3. Step 3: Cross multiply
    123,678.75x = 251,676.75 × 251,676.75
  4. Step 4: Simplify right side
    123,678.75x = 63,341,186,490.56
  5. Step 5: Solve for x
    x = 63,341,186,490.56/123,678.75
  6. Step 6: Final answer
    x = 512,142.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.