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Finding the Third Proportional to 382,276 and 534,800

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Solution

The third proportional to 382,276 and 534,800 is: 748,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276 : 534,800 = 534,800 : x
  2. Step 2: Convert to fraction form
    382,276/534,800 = 534,800/x
  3. Step 3: Cross multiply
    382,276x = 534,800 × 534,800
  4. Step 4: Simplify right side
    382,276x = 286,011,040,000
  5. Step 5: Solve for x
    x = 286,011,040,000/382,276
  6. Step 6: Final answer
    x = 748,179.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.