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Finding the Third Proportional to 177,486 and 387,723

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Solution

The third proportional to 177,486 and 387,723 is: 846,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,486 : 387,723 = 387,723 : x
  2. Step 2: Convert to fraction form
    177,486/387,723 = 387,723/x
  3. Step 3: Cross multiply
    177,486x = 387,723 × 387,723
  4. Step 4: Simplify right side
    177,486x = 150,329,124,729
  5. Step 5: Solve for x
    x = 150,329,124,729/177,486
  6. Step 6: Final answer
    x = 846,991.45

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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.