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Finding the Third Proportional to 111,381 and 172,347

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Solution

The third proportional to 111,381 and 172,347 is: 266,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,381 : 172,347 = 172,347 : x
  2. Step 2: Convert to fraction form
    111,381/172,347 = 172,347/x
  3. Step 3: Cross multiply
    111,381x = 172,347 × 172,347
  4. Step 4: Simplify right side
    111,381x = 29,703,488,409
  5. Step 5: Solve for x
    x = 29,703,488,409/111,381
  6. Step 6: Final answer
    x = 266,683.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.