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Finding the Third Proportional to 81,381 and 124,417

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Solution

The third proportional to 81,381 and 124,417 is: 190,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,381 : 124,417 = 124,417 : x
  2. Step 2: Convert to fraction form
    81,381/124,417 = 124,417/x
  3. Step 3: Cross multiply
    81,381x = 124,417 × 124,417
  4. Step 4: Simplify right side
    81,381x = 15,479,589,889
  5. Step 5: Solve for x
    x = 15,479,589,889/81,381
  6. Step 6: Final answer
    x = 190,211.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.