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Finding the Third Proportional to 382,742 and 547,863

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Solution

The third proportional to 382,742 and 547,863 is: 784,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,742 : 547,863 = 547,863 : x
  2. Step 2: Convert to fraction form
    382,742/547,863 = 547,863/x
  3. Step 3: Cross multiply
    382,742x = 547,863 × 547,863
  4. Step 4: Simplify right side
    382,742x = 300,153,866,769
  5. Step 5: Solve for x
    x = 300,153,866,769/382,742
  6. Step 6: Final answer
    x = 784,219.83

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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.