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Finding the Third Proportional to 177,305 and 388,522

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Solution

The third proportional to 177,305 and 388,522 is: 851,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,305 : 388,522 = 388,522 : x
  2. Step 2: Convert to fraction form
    177,305/388,522 = 388,522/x
  3. Step 3: Cross multiply
    177,305x = 388,522 × 388,522
  4. Step 4: Simplify right side
    177,305x = 150,949,344,484
  5. Step 5: Solve for x
    x = 150,949,344,484/177,305
  6. Step 6: Final answer
    x = 851,354.13

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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.