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Finding the Third Proportional to 120,939.75 and 187,893

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Solution

The third proportional to 120,939.75 and 187,893 is: 291,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,939.75 : 187,893 = 187,893 : x
  2. Step 2: Convert to fraction form
    120,939.75/187,893 = 187,893/x
  3. Step 3: Cross multiply
    120,939.75x = 187,893 × 187,893
  4. Step 4: Simplify right side
    120,939.75x = 35,303,779,449
  5. Step 5: Solve for x
    x = 35,303,779,449/120,939.75
  6. Step 6: Final answer
    x = 291,912.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.