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Finding the Third Proportional to 120,429 and 183,786

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Solution

The third proportional to 120,429 and 183,786 is: 280,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429 : 183,786 = 183,786 : x
  2. Step 2: Convert to fraction form
    120,429/183,786 = 183,786/x
  3. Step 3: Cross multiply
    120,429x = 183,786 × 183,786
  4. Step 4: Simplify right side
    120,429x = 33,777,293,796
  5. Step 5: Solve for x
    x = 33,777,293,796/120,429
  6. Step 6: Final answer
    x = 280,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.