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Finding the Third Proportional to 120,240 and 187,638

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Solution

The third proportional to 120,240 and 187,638 is: 292,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,240 : 187,638 = 187,638 : x
  2. Step 2: Convert to fraction form
    120,240/187,638 = 187,638/x
  3. Step 3: Cross multiply
    120,240x = 187,638 × 187,638
  4. Step 4: Simplify right side
    120,240x = 35,208,019,044
  5. Step 5: Solve for x
    x = 35,208,019,044/120,240
  6. Step 6: Final answer
    x = 292,814.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.