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Finding the Third Proportional to 177,303 and 388,518

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Solution

The third proportional to 177,303 and 388,518 is: 851,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,303 : 388,518 = 388,518 : x
  2. Step 2: Convert to fraction form
    177,303/388,518 = 388,518/x
  3. Step 3: Cross multiply
    177,303x = 388,518 × 388,518
  4. Step 4: Simplify right side
    177,303x = 150,946,236,324
  5. Step 5: Solve for x
    x = 150,946,236,324/177,303
  6. Step 6: Final answer
    x = 851,346.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.