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Finding the Third Proportional to 177,878 and 385,280

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Solution

The third proportional to 177,878 and 385,280 is: 834,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,878 : 385,280 = 385,280 : x
  2. Step 2: Convert to fraction form
    177,878/385,280 = 385,280/x
  3. Step 3: Cross multiply
    177,878x = 385,280 × 385,280
  4. Step 4: Simplify right side
    177,878x = 148,440,678,400
  5. Step 5: Solve for x
    x = 148,440,678,400/177,878
  6. Step 6: Final answer
    x = 834,508.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.