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Finding the Third Proportional to 177,789 and 385,089

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Solution

The third proportional to 177,789 and 385,089 is: 834,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789 : 385,089 = 385,089 : x
  2. Step 2: Convert to fraction form
    177,789/385,089 = 385,089/x
  3. Step 3: Cross multiply
    177,789x = 385,089 × 385,089
  4. Step 4: Simplify right side
    177,789x = 148,293,537,921
  5. Step 5: Solve for x
    x = 148,293,537,921/177,789
  6. Step 6: Final answer
    x = 834,098.50

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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.