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Finding the Third Proportional to 120,278 and 183,254

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Solution

The third proportional to 120,278 and 183,254 is: 279,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,278 : 183,254 = 183,254 : x
  2. Step 2: Convert to fraction form
    120,278/183,254 = 183,254/x
  3. Step 3: Cross multiply
    120,278x = 183,254 × 183,254
  4. Step 4: Simplify right side
    120,278x = 33,582,028,516
  5. Step 5: Solve for x
    x = 33,582,028,516/120,278
  6. Step 6: Final answer
    x = 279,203.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.