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Finding the Third Proportional to 155,274 and 334,330

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Solution

The third proportional to 155,274 and 334,330 is: 719,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,274 : 334,330 = 334,330 : x
  2. Step 2: Convert to fraction form
    155,274/334,330 = 334,330/x
  3. Step 3: Cross multiply
    155,274x = 334,330 × 334,330
  4. Step 4: Simplify right side
    155,274x = 111,776,548,900
  5. Step 5: Solve for x
    x = 111,776,548,900/155,274
  6. Step 6: Final answer
    x = 719,866.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.