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Finding the Third Proportional to 120,851 and 186,743

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Solution

The third proportional to 120,851 and 186,743 is: 288,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851 : 186,743 = 186,743 : x
  2. Step 2: Convert to fraction form
    120,851/186,743 = 186,743/x
  3. Step 3: Cross multiply
    120,851x = 186,743 × 186,743
  4. Step 4: Simplify right side
    120,851x = 34,872,948,049
  5. Step 5: Solve for x
    x = 34,872,948,049/120,851
  6. Step 6: Final answer
    x = 288,561.52

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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.