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Finding the Third Proportional to 382,740 and 547,860

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Solution

The third proportional to 382,740 and 547,860 is: 784,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,740 : 547,860 = 547,860 : x
  2. Step 2: Convert to fraction form
    382,740/547,860 = 547,860/x
  3. Step 3: Cross multiply
    382,740x = 547,860 × 547,860
  4. Step 4: Simplify right side
    382,740x = 300,150,579,600
  5. Step 5: Solve for x
    x = 300,150,579,600/382,740
  6. Step 6: Final answer
    x = 784,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.