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Finding the Third Proportional to 177,801 and 385,113

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Solution

The third proportional to 177,801 and 385,113 is: 834,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,801 : 385,113 = 385,113 : x
  2. Step 2: Convert to fraction form
    177,801/385,113 = 385,113/x
  3. Step 3: Cross multiply
    177,801x = 385,113 × 385,113
  4. Step 4: Simplify right side
    177,801x = 148,312,022,769
  5. Step 5: Solve for x
    x = 148,312,022,769/177,801
  6. Step 6: Final answer
    x = 834,146.17

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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.