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Finding the Third Proportional to 177,609 and 380,550

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Solution

The third proportional to 177,609 and 380,550 is: 815,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,609 : 380,550 = 380,550 : x
  2. Step 2: Convert to fraction form
    177,609/380,550 = 380,550/x
  3. Step 3: Cross multiply
    177,609x = 380,550 × 380,550
  4. Step 4: Simplify right side
    177,609x = 144,818,302,500
  5. Step 5: Solve for x
    x = 144,818,302,500/177,609
  6. Step 6: Final answer
    x = 815,377.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.