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Finding the Third Proportional to 177,609 and 371,634

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Solution

The third proportional to 177,609 and 371,634 is: 777,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,609 : 371,634 = 371,634 : x
  2. Step 2: Convert to fraction form
    177,609/371,634 = 371,634/x
  3. Step 3: Cross multiply
    177,609x = 371,634 × 371,634
  4. Step 4: Simplify right side
    177,609x = 138,111,829,956
  5. Step 5: Solve for x
    x = 138,111,829,956/177,609
  6. Step 6: Final answer
    x = 777,617.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.