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Finding the Third Proportional to 177,608 and 371,636

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Solution

The third proportional to 177,608 and 371,636 is: 777,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,608 : 371,636 = 371,636 : x
  2. Step 2: Convert to fraction form
    177,608/371,636 = 371,636/x
  3. Step 3: Cross multiply
    177,608x = 371,636 × 371,636
  4. Step 4: Simplify right side
    177,608x = 138,113,316,496
  5. Step 5: Solve for x
    x = 138,113,316,496/177,608
  6. Step 6: Final answer
    x = 777,630.04

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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.