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Finding the Third Proportional to 120,456 and 187,357

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Solution

The third proportional to 120,456 and 187,357 is: 291,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,456 : 187,357 = 187,357 : x
  2. Step 2: Convert to fraction form
    120,456/187,357 = 187,357/x
  3. Step 3: Cross multiply
    120,456x = 187,357 × 187,357
  4. Step 4: Simplify right side
    120,456x = 35,102,645,449
  5. Step 5: Solve for x
    x = 35,102,645,449/120,456
  6. Step 6: Final answer
    x = 291,414.67

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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.