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Finding the Third Proportional to 177,903 and 385,314

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Solution

The third proportional to 177,903 and 385,314 is: 834,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,903 : 385,314 = 385,314 : x
  2. Step 2: Convert to fraction form
    177,903/385,314 = 385,314/x
  3. Step 3: Cross multiply
    177,903x = 385,314 × 385,314
  4. Step 4: Simplify right side
    177,903x = 148,466,878,596
  5. Step 5: Solve for x
    x = 148,466,878,596/177,903
  6. Step 6: Final answer
    x = 834,538.36

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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.