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Finding the Third Proportional to 181,908.75 and 279,222

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Solution

The third proportional to 181,908.75 and 279,222 is: 428,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,908.75 : 279,222 = 279,222 : x
  2. Step 2: Convert to fraction form
    181,908.75/279,222 = 279,222/x
  3. Step 3: Cross multiply
    181,908.75x = 279,222 × 279,222
  4. Step 4: Simplify right side
    181,908.75x = 77,964,925,284
  5. Step 5: Solve for x
    x = 77,964,925,284/181,908.75
  6. Step 6: Final answer
    x = 428,593.60

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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.