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Finding the Third Proportional to 120,911 and 187,851

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Solution

The third proportional to 120,911 and 187,851 is: 291,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,911 : 187,851 = 187,851 : x
  2. Step 2: Convert to fraction form
    120,911/187,851 = 187,851/x
  3. Step 3: Cross multiply
    120,911x = 187,851 × 187,851
  4. Step 4: Simplify right side
    120,911x = 35,287,998,201
  5. Step 5: Solve for x
    x = 35,287,998,201/120,911
  6. Step 6: Final answer
    x = 291,851.02

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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.