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Finding the Third Proportional to 177,814 and 387,582

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Solution

The third proportional to 177,814 and 387,582 is: 844,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,814 : 387,582 = 387,582 : x
  2. Step 2: Convert to fraction form
    177,814/387,582 = 387,582/x
  3. Step 3: Cross multiply
    177,814x = 387,582 × 387,582
  4. Step 4: Simplify right side
    177,814x = 150,219,806,724
  5. Step 5: Solve for x
    x = 150,219,806,724/177,814
  6. Step 6: Final answer
    x = 844,814.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.