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Finding the Third Proportional to 177,669 and 388,553

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Solution

The third proportional to 177,669 and 388,553 is: 849,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,669 : 388,553 = 388,553 : x
  2. Step 2: Convert to fraction form
    177,669/388,553 = 388,553/x
  3. Step 3: Cross multiply
    177,669x = 388,553 × 388,553
  4. Step 4: Simplify right side
    177,669x = 150,973,433,809
  5. Step 5: Solve for x
    x = 150,973,433,809/177,669
  6. Step 6: Final answer
    x = 849,745.50

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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.