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Finding the Third Proportional to 120,388 and 186,669

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Solution

The third proportional to 120,388 and 186,669 is: 289,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388 : 186,669 = 186,669 : x
  2. Step 2: Convert to fraction form
    120,388/186,669 = 186,669/x
  3. Step 3: Cross multiply
    120,388x = 186,669 × 186,669
  4. Step 4: Simplify right side
    120,388x = 34,845,315,561
  5. Step 5: Solve for x
    x = 34,845,315,561/120,388
  6. Step 6: Final answer
    x = 289,441.77

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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.