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Finding the Third Proportional to 179,724 and 275,310

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Solution

The third proportional to 179,724 and 275,310 is: 421,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,724 : 275,310 = 275,310 : x
  2. Step 2: Convert to fraction form
    179,724/275,310 = 275,310/x
  3. Step 3: Cross multiply
    179,724x = 275,310 × 275,310
  4. Step 4: Simplify right side
    179,724x = 75,795,596,100
  5. Step 5: Solve for x
    x = 75,795,596,100/179,724
  6. Step 6: Final answer
    x = 421,733.30

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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.