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Finding the Third Proportional to 120,384 and 183,782.25

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Solution

The third proportional to 120,384 and 183,782.25 is: 280,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384 : 183,782.25 = 183,782.25 : x
  2. Step 2: Convert to fraction form
    120,384/183,782.25 = 183,782.25/x
  3. Step 3: Cross multiply
    120,384x = 183,782.25 × 183,782.25
  4. Step 4: Simplify right side
    120,384x = 33,775,915,415.06
  5. Step 5: Solve for x
    x = 33,775,915,415.06/120,384
  6. Step 6: Final answer
    x = 280,568.14

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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.